## Sahoo, Prasanna K.

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 Author ID: sahoo.prasanna-k Published as: Sahoo, Prasanna K.; Sahoo, P. K.; Sahoo, Prasanna more...less Further Spellings: Sahoo, Ron Homepage: http://erdos.math.louisville.edu/~pksaho01/ External Links: MGP · ORCID
 Documents Indexed: 168 Publications since 1983, including 3 Books Reviewing Activity: 107 Reviews Co-Authors: 46 Co-Authors with 140 Joint Publications 845 Co-Co-Authors
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### Co-Authors

 19 single-authored 36 Kannappan, Palaniappan 22 Riedel, Thomas 17 Faĭziev, Valeriĭ A. 14 Ebanks, Bruce R. 14 Jung, Soon-Mo 9 Powers, Robert C. 8 Wang, Zhihua 7 Chung, Jaeyoung 6 Ng, Che Tat 6 Sander, Wolfgang 5 Hunt, Heather B. 4 Chung, Jukang K. 4 Székelyhidi, László 3 Chávez, Esteban A. 3 Kim, Gwang Hui 3 Perkins, Allison M. 3 Sahoo, Dola Govinda 2 Choi, Chang-Kwon 2 Das, Manav 2 Deeba, Elias Y. 2 Elfen, Heather Hunt 2 Houston, Kelly B. 2 Moslehian, Mohammad Sal 2 Xie, Shishen 1 Arora, Gurdial 1 Chang, Jeongwook 1 Chung, Jukang 1 Davitt, Richard M. 1 El-Azab, Magdi 1 Elbaz, Ayman M. 1 Eltanboly, Ahmed H. 1 Ghazal, Mohammed 1 Hajjdiab, Hassan 1 Jacobson, Michael Scott 1 Khirali, B. 1 Kim, Jongjin 1 Koh, Eusebio L. 1 Laha, Ujjwal 1 Mahmoud, Ali 1 Nikodem, Kazimierz 1 Ponnusamy, Saminathan 1 Rahbarnia, Freydoon 1 Rassias, Themistocles Michael 1 Sablik, Maciej 1 Santiwipanont, Tippawan 1 Shalaby, Ahmed 1 Switala, Andy 1 Wilkins, Carrye 1 Wong, Andrew K. C. 1 Yeager, Jerry
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### Serials

 19 Aequationes Mathematicae 8 Journal of Mathematical Analysis and Applications 7 Applied Mathematics Letters 5 Results in Mathematics 5 Radovi Matematički 4 Demonstratio Mathematica 4 International Journal of Mathematics and Mathematical Sciences 4 Bulletin of the Korean Mathematical Society 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Mathematical and Physical Sciences 3 Kybernetika 3 Publicationes Mathematicae Debrecen 3 Utilitas Mathematica 3 Acta Mathematica Hungarica 3 Glasnik Matematički. Serija III 3 Filomat 3 Annals of Functional Analysis 2 Journal of Combinatorics, Information & System Sciences 2 Journal of the Korean Mathematical Society 2 Kyungpook Mathematical Journal 2 Proceedings of the National Academy of Sciences, India. Section A 2 Transactions of the American Mathematical Society 2 Elemente der Mathematik 2 Pattern Recognition 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Abstract and Applied Analysis 2 Mathematical Inequalities & Applications 2 Nonlinear Functional Analysis and Applications 2 Sarajevo Journal of Mathematics 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Journal of Mathematical Inequalities 2 Journal of Nonlinear Science and Applications 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 International Journal of General Systems 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Indian Journal of Technology 1 The Mathematics Education 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Mathematics Magazine 1 Acta Ciencia Indica. Mathematics 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Indian Journal of Mathematics 1 Journal of Algebra 1 Proceedings of the American Mathematical Society 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Stochastica 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Acta Mathematica Universitatis Comenianae 1 Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae 1 Mathematica Bohemica 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 SIAM Journal on Mathematical Analysis 1 International Journal of Mathematical and Statistical Sciences 1 St. Petersburg Mathematical Journal 1 Georgian Mathematical Journal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Matematychni Studiï 1 Tamsui Oxford Journal of Mathematical Sciences 1 Journal of Interdisciplinary Mathematics 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne 1 Proyecciones 1 Journal of Fixed Point Theory and Applications 1 The College Mathematics Journal 1 Banach Journal of Mathematical Analysis 1 Journal of Informatics and Mathematical Sciences 1 International Journal of Nonlinear Analysis and Applications 1 Tamsui Oxford Journal of Information and Mathematical Sciences 1 Journal of Applied Analysis and Computation 1 Advances in Operator Theory
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### Fields

 143 Difference and functional equations (39-XX) 37 Information and communication theory, circuits (94-XX) 17 Real functions (26-XX) 10 Group theory and generalizations (20-XX) 9 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Fluid mechanics (76-XX) 4 Functions of a complex variable (30-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

117 Publications have been cited 699 times in 435 Documents Cited by Year
Mean value theorems and functional equations. Zbl 0980.39015
Sahoo, P. K.; Riedel, T.
1998
Introduction to functional equations. Zbl 1223.39012
Sahoo, Prasanna K.; Kannappan, Palaniappan
2011
On the general solution of a quartic functional equation. Zbl 1048.39017
Chung, Jukang K.; Sahoo, Prasanna K.
2003
A common generalization of functional equations characterizing normed and quasi-inner-product spaces. Zbl 0712.39021
Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K.
1991
On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301
Kannappan, Pl.; Sahoo, P. K.
2003
Stability of a functional equation of Drygas. Zbl 1022.39028
Jung, Soon-Mo; Sahoo, Prasanna K.
2002
The space of $$(\psi,\gamma)$$-additive mappings on semigroups. Zbl 1043.20035
Faĭziev, Valeriĭ A.; Rassias, Themistocles M.; Sahoo, Prasanna K.
2002
Hyers-Ulam stability of the quadratic equation of Pexider type. Zbl 0980.39023
Jung, Soon-Mo; Sahoo, Prasanna K.
2001
A generalized cubic functional equation. Zbl 1086.39026
Sahoo, P. K.
2005
Measures of distance between probability distributions. Zbl 0669.60025
Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K.
1989
Characterization of information measures. Zbl 0923.94002
Ebanks, Bruce R.; Sahoo, Prasanna; Sander, Wolfgang
1997
On two functional equations with involution on groups related to sine and cosine functions. Zbl 1333.39025
Perkins, Allison M.; Sahoo, Prasanna K.
2015
Hyers-Ulam stability of Flett’s points. Zbl 1047.39018
Das, M.; Riedel, T.; Sahoo, P. K.
2003
On a quadratic-trigonometric functional equation and some applications. Zbl 0830.39014
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.
1995
Stability of a generalized Jensen equation on restricted domains. Zbl 1219.39016
Jung, S.-M.; Moslehian, M. S.; Sahoo, P. K.
2010
On a generalization of a functional equation associated with the distance between the probability distributions. Zbl 0860.39032
Riedel, T.; Sahoo, P. K.
1995
On two functional equations and their solutions. Zbl 1152.39316
Houston, Kelly B.; Sahoo, Prasanna K.
2008
Cauchy differences that depend on the product of arguments. Zbl 0780.39007
Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K.
1992
A thresholding method based on two-dimensional Renyi’s entropy. Zbl 1121.94306
Sahoo, Prasanna K.; Arora, Gurdial
2004
On two functional equations connected with the characterizations of the distance measures. Zbl 0895.39007
Riedel, Thomas; Sahoo, Prasanna K.
1997
On a functional equation associated with stochastic distance measures. Zbl 0934.39008
Sahoo, P. K.
1999
General solution of some functional equations related to the determinant of some symmetric matrices. Zbl 1033.39021
Chung, Jukang K.; Sahoo, Prasanna K.
2002
Flett’s mean value theorem for holomorphic functions. Zbl 1021.30003
Davitt, R. M.; Powers, R. C.; Riedel, T.; Sahoo, P. K.
1999
On a functional equation characterizing polynomials of degree three. Zbl 1052.39028
Sahoo, Prasanna K.
2004
Threshold selection using Rényi’s entropy. Zbl 1121.94302
Sahoo, Prasanna; Wilkins, Carrye; Yeager, Jerry
1997
On some functional equations connected to sum form information measures on open domains. Zbl 0524.94008
Sahoo, P. K.
1983
Limit properties of differential mean values. Zbl 0923.26005
Powers, R. C.; Riedel, T.; Sahoo, P. K.
1998
Stability of some functional equations related to distance measures. I. Zbl 1216.39037
Kim, Gwang Hui; Sahoo, Prasanna K.
2011
On generalizations of the Pompeiu functional equation. Zbl 0897.39005
Kannappan, Pl.; Sahoo, P. K.
1998
On a functional equation arising from number theory. Zbl 1211.39012
Chávez, Esteban A.; Sahoo, Prasanna K.
2011
A characterization of low degree polynomials. Zbl 0830.39011
Kannappan, Pl.; Sahoo, P. K.; Jacobson, M. S.
1995
On a class of functional equations in distribution. Zbl 0914.39030
Deeba, Elias; Sahoo, P. K.; Xie, Shishen
1998
On the stability of Drygas functional equation on groups. Zbl 1130.39023
Faĭziev, Valerıĭ A.; Sahoo, Prasanna K.
2007
Stability of a functional equation for square root spirals. Zbl 1016.39020
Jung, Soon-Mo; Sahoo, P. K.
2002
A variant of a generalized quadratic functional equation on groups. Zbl 1371.39031
Elfen, Heather Hunt; Riedel, Thomas; Sahoo, Prasanna K.
2017
Solution of Whitehead equation on groups. Zbl 1289.39047
Faĭziev, Valeriĭ A.; Sahoo, Prasanna K.
2013
On functional equations of the multiplicative type. Zbl 1320.39025
Chávez, Esteban A.; Sahoo, Prasanna K.
2015
Approximate double centralizers are exact double centralizers. Zbl 1170.39015
Moslehian, Mohammad Sal; Rahbarnia, Freydoon; Sahoo, Prasanna K.
2007
On a functional equation associated with the symmetric divergence measures. Zbl 0845.39007
Kannappan, P. L.; Sahoo, P. K.; Chung, J. K.
1993
On a functional equation related to digital filtering. Zbl 0992.39025
Sahoo, Prasanna K.; Székelyhidi, László
2001
Flett’s mean value theorem in topological vector spaces. Zbl 1006.58007
Powers, Robert C.; Riedel, Thomas; Sahoo, Prasanna K.
2001
On the stability of Jensen’s functional equation on groups. Zbl 1119.39023
Faĭziev, Valeriĭ A.; Sahoo, Prasanna K.
2007
On the order of a derivation. Zbl 1383.39022
Ebanks, Bruce; Riedel, Thomas; Sahoo, Prasanna K.
2016
On the stability of a mean value type functional equation. Zbl 0973.39022
Jung, Soon-Mo; Sahoo, Prasanna K.
2000
Rényi’s entropy of order $$\alpha$$ and Shannon’s random cipher result. Zbl 0622.94012
Sahoo, P. K.
1983
Sum form distance measures between probability distributions and functional equations. Zbl 0882.62007
Kannappan, Pl.; Sahoo, P. K.
1997
Stability of a functional equation related to distance measure. II. Zbl 1203.39018
Kim, G. H.; Sahoo, P. K.
2010
On a functional equation of Abel. Zbl 0830.39013
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B.
1994
Geometric properties of certain linear integral transforms. Zbl 1080.30016
Ponnusamy, S.; Sahoo, P.
2005
Some results related to the integral mean value theorem. Zbl 1294.97014
Sahoo, P. K.
2007
On a functional equation connected to sum form nonadditive information measures on an open domain. Zbl 0568.39004
Kannappan, Pl.; Sahoo, P. K.
1985
Determination of measurable sum form information measures satisfying (2,2)-additivity of degree ($$\alpha$$ ,$$\beta$$ ). Zbl 0708.39003
Ebanks, B.; Sahoo, P. K.; Sander, W.
1990
General solution of two functional equations concerning measures of information. Zbl 0713.39005
Ebanks, B. R.; Sahoo, P. K.; Sander, W.
1990
On a functional equation connected to sum form nonadditive information measures on an open domain. II. Zbl 0652.39010
Kannappan, PL.; Sahoo, P. K.
1987
Stability of functional equations arising from number theory and determinant of matrices. Zbl 1369.39028
Choi, Chang-Kwon; Chung, Jaeyoung; Riedel, Thomas; Sahoo, Prasanna K.
2017
On a functional equation in actuarial mathematics. Zbl 0971.39012
Riedel, T.; Sablik, M.; Sahoo, P. K.
2001
On a functional equation on groups. Zbl 0972.39017
Chung, Jukang K.; Jung, Soon-Mo; Sahoo, Prasanna K.
2001
Stability of an ACQ-functional equation in various matrix normed spaces. Zbl 1310.39016
Wang, Zhihua; Sahoo, Prasanna K.
2015
Stability of Wilson’s functional equations with involutions. Zbl 1354.39020
Chung, Jaeyoung; Sahoo, Prasanna K.
2015
On a functional equation associated with the trapezoidal rule. Zbl 1184.39009
Sahoo, Prasanna K.
2009
Cauchy difference - a generalization of Hosszu functional equation. Zbl 0889.39015
Kannappan, P. L.; Sahoo, P. K.
1993
Magnetohydrodynamic unsteady free convection flow past an infinite vertical plate with constant suction and heat sink. Zbl 1021.76050
Sahoo, P. K.; Datta, N.; Biswal, S.
2003
Hydromagnetic free convection and mass transform flow past an accelerated vertical plate through a porous medium. Zbl 0606.76099
Sahoo, D. G.; Sahoo, P. K.
1986
On a functional equation connected to sum form nonadditive information measures on an open domain. I. Zbl 0609.39005
Kannappan, PL.; Sahoo, P. K.
1986
On the general solution of a functional equation connected to sum form information measures on open domain. III. Zbl 0628.39009
Kannappan, PL.; Sahoo, P. K.
1986
On a functional equation associated with Simpson’s rule. Zbl 0879.39007
Kannappan, Pl.; Riedel, T.; Sahoo, P. K.
1997
Characterizations of sum form information measures on open domains. Zbl 0880.39019
Ebanks, Bruce R.; Kannappan, Palaniappan; Sahoo, Prasanna K.; Sander, Wolfgang
1997
Determination of all additive sum form information measures of $$k$$ positive discrete probability distributions. Zbl 0839.94005
Sahoo, P. K.
1995
Three open problems in functional equations. Zbl 0962.39501
Sahoo, P. K.
1995
Characterization of polynomials and divided difference. Zbl 0852.39005
Kannappan, P. L.; Sahoo, P. K.
1995
On a distributional analog of a sum form functional equation. Zbl 0906.39013
Deeba, E.; Koh, E. L.; Sahoo, P. K.; Xie, Shishen
1998
Characterizations of polynomials with mean value properties. Zbl 0783.39010
Chung, J. K.; Sahoo, P. K.
1993
Flett’s mean value theorem for approximately differentiable functions. Zbl 1081.26001
Das, Manav; Riedel, Thomas; Sahoo, Prasanna K.
2001
On a functional equation related to the determinant of symmetric two-by-two matrices. Zbl 1190.39010
Houston, Kelly B.; Sahoo, Prasanna K.
2007
On a functional equation associated with the trapezoidal rule. Zbl 1146.39036
Sahoo, Prasanna K.
2007
The stability problem of the Hermite-Hadamard inequality. Zbl 1117.39019
Nikodem, Kazimierz; Riedel, Thomas; Sahoo, Prasanna K.
2007
Stability of the cosine-sine functional equation with involution. Zbl 1374.39034
Chang, Jeongwook; Choi, Chang-Kwon; Kim, Jongjin; Sahoo, Prasanna K.
2017
Sum form information measures on open domain. Zbl 0701.39007
Sahoo, P. K.; Sander, W.
1989
Representation of sum form information measures with weighted additivity of type $$(\alpha,\beta)$$ on an open domain. Zbl 0708.94007
Kannappan, PL.; Sahoo, P. K.
1990
Superstability of the generalized orthogonality equation on restricted domains. Zbl 1074.39028
Jung, Soon-Mo; Sahoo, Prasanna K.
2004
Quasi-mean value theorems for symmetrically differentiable functions. Zbl 1260.26004
Sahoo, Prasanna K.
2011
Approximation of the mixed additive and cubic functional equation in paranormed spaces. Zbl 1412.39037
Wang, Zhihua; Sahoo, Prasanna K.
2017
A functional equation with involution related to the cosine function. Zbl 1341.39010
Perkins, Allison M.; Sahoo, Prasanna K.
2016
Solution of several functional equations on nonunital semigroups using Wilson’s functional equations with involution. Zbl 1412.39025
Chung, Jaeyoung; Sahoo, Prasanna K.
2014
A variant of the quadratic functional equation on groups and an application. Zbl 1416.39015
Elfen, Heather Hunt; Riedel, Thomas; Sahoo, Prasanna K.
2017
On a functional equation arising from Proth identity. Zbl 1352.39011
Chung, Jaeyoung; Sahoo, Prasanna K.
2016
Yet another variant of the Drygas functional equation on groups. Zbl 1390.39091
Sahoo, Prasanna K.
2017
A functional equation on $$\mathbb Z_n \oplus \mathbb Z_n$$. Zbl 1005.39023
Sahoo, P. K.; Székelyhidi, L.
2002
Hyers-Ulam stability of a generalized Hosszú functional equation. Zbl 1028.39010
Jung, Soon-Mo; Sahoo, Prasanna K.
2002
A property of quadratic polynomials in two variables. Zbl 1038.34071
Kannappan, P. L.; Sahoo, P. K.
2001
On a functional equation connected to sum form nonadditive information measures on an open domain. III. Zbl 0609.39006
Kannappan, PL.; Sahoo, P. K.
1985
On a generalization of Shannon’s random cipher result. Zbl 0618.94007
Sahoo, Prasanna K.
1986
On the general solution of a functional equation connected to sum form information measures on open domain. IV. Zbl 0628.39010
Kannappan, PL.; Sahoo, P. K.
1986
On a functional equation in two variables connected to sum form information measures on an open domain. Zbl 0629.39006
Kannappan, PL.; Sahoo, P. K.
1986
Rotation invariant separable functions are Gaussian. Zbl 0760.39002
Kannappan, PL.; Sahoo, P. K.
1992
Hall effect on oscillatory hydrodynamic free convective flow of a viscoelastic fluid past an infinite vertical porous flat plate with mass transfer. Zbl 0964.76094
Biswal, S.; Sahoo, P. K.
1999
Stability of a Sincov type functional equation. Zbl 1205.39030
Sahoo, Prasanna K.
2009
An equation associated with the distance between probability distributions. Zbl 0823.39006
Kannappan, PL.; Sahoo, P. K.; Chung, J. K.
1994
On generalized rectangular and rhombic functional equations. Zbl 0857.39014
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B.
1995
On a functional equation of Swiatak on groups. Zbl 0782.39008
Chung, J. K.; Ebanks, B. R.; Sahoo, P. K.
1993
Level sets-based image segmentation approach using statistical shape priors. Zbl 1428.94022
Eltanboly, Ahmed; Ghazal, Mohammed; Hajjdiab, Hassan; Shalaby, Ahmed; Switala, Andy; Mahmoud, Ali; Sahoo, Prasanna; El-Azab, Magdi; El-Baz, Ayman
2019
A variant of a generalized quadratic functional equation on groups. Zbl 1371.39031
Elfen, Heather Hunt; Riedel, Thomas; Sahoo, Prasanna K.
2017
Stability of functional equations arising from number theory and determinant of matrices. Zbl 1369.39028
Choi, Chang-Kwon; Chung, Jaeyoung; Riedel, Thomas; Sahoo, Prasanna K.
2017
Stability of the cosine-sine functional equation with involution. Zbl 1374.39034
Chang, Jeongwook; Choi, Chang-Kwon; Kim, Jongjin; Sahoo, Prasanna K.
2017
Approximation of the mixed additive and cubic functional equation in paranormed spaces. Zbl 1412.39037
Wang, Zhihua; Sahoo, Prasanna K.
2017
A variant of the quadratic functional equation on groups and an application. Zbl 1416.39015
Elfen, Heather Hunt; Riedel, Thomas; Sahoo, Prasanna K.
2017
Yet another variant of the Drygas functional equation on groups. Zbl 1390.39091
Sahoo, Prasanna K.
2017
On the order of a derivation. Zbl 1383.39022
Ebanks, Bruce; Riedel, Thomas; Sahoo, Prasanna K.
2016
A functional equation with involution related to the cosine function. Zbl 1341.39010
Perkins, Allison M.; Sahoo, Prasanna K.
2016
On a functional equation arising from Proth identity. Zbl 1352.39011
Chung, Jaeyoung; Sahoo, Prasanna K.
2016
Stability of functional equations of $$n$$-Apollonius type in fuzzy ternary Banach algebras. Zbl 1393.39016
Wang, Zhihua; Sahoo, Prasanna K.
2016
Stability of the pexiderized quadratic functional equation in paranormed spaces. Zbl 1462.39028
Wang, Zhihua; Sahoo, Prasanna K.
2016
On two functional equations with involution on groups related to sine and cosine functions. Zbl 1333.39025
Perkins, Allison M.; Sahoo, Prasanna K.
2015
On functional equations of the multiplicative type. Zbl 1320.39025
Chávez, Esteban A.; Sahoo, Prasanna K.
2015
Stability of an ACQ-functional equation in various matrix normed spaces. Zbl 1310.39016
Wang, Zhihua; Sahoo, Prasanna K.
2015
Stability of Wilson’s functional equations with involutions. Zbl 1354.39020
Chung, Jaeyoung; Sahoo, Prasanna K.
2015
Stability of a Pexider type functional equation related to distance measures. Zbl 1346.39040
Kim, Gwang Hui; Sahoo, Prasanna K.
2015
Solution of several functional equations on nonunital semigroups using Wilson’s functional equations with involution. Zbl 1412.39025
Chung, Jaeyoung; Sahoo, Prasanna K.
2014
Solution of Whitehead equation on groups. Zbl 1289.39047
Faĭziev, Valeriĭ A.; Sahoo, Prasanna K.
2013
Stability of a simple Levi-Civitá functional equation on non-unital commutative semigroups. Zbl 1308.39024
Chung, Jaeyoung; Hunt, Heather; Perkins, Allison; Sahoo, Prasanna K.
2013
Introduction to functional equations. Zbl 1223.39012
Sahoo, Prasanna K.; Kannappan, Palaniappan
2011
Stability of some functional equations related to distance measures. I. Zbl 1216.39037
Kim, Gwang Hui; Sahoo, Prasanna K.
2011
On a functional equation arising from number theory. Zbl 1211.39012
Chávez, Esteban A.; Sahoo, Prasanna K.
2011
Quasi-mean value theorems for symmetrically differentiable functions. Zbl 1260.26004
Sahoo, Prasanna K.
2011
Stability of a generalized Jensen equation on restricted domains. Zbl 1219.39016
Jung, S.-M.; Moslehian, M. S.; Sahoo, P. K.
2010
Stability of a functional equation related to distance measure. II. Zbl 1203.39018
Kim, G. H.; Sahoo, P. K.
2010
On a functional equation associated with the trapezoidal rule. Zbl 1184.39009
Sahoo, Prasanna K.
2009
Stability of a Sincov type functional equation. Zbl 1205.39030
Sahoo, Prasanna K.
2009
On $$(\psi, \gamma)$$-stability of Cauchy equation on some noncommutative groups. Zbl 1265.39051
Faĭziev, Valeriĭ A.; Sahoo, Prasanna K.
2009
On two functional equations and their solutions. Zbl 1152.39316
Houston, Kelly B.; Sahoo, Prasanna K.
2008
On the stability of the quadratic equation on groups. Zbl 1183.39018
Faĭziev, Valeriĭ A.; Sahoo, Prasanna K.
2008
On the stability of Drygas functional equation on groups. Zbl 1130.39023
Faĭziev, Valerıĭ A.; Sahoo, Prasanna K.
2007
Approximate double centralizers are exact double centralizers. Zbl 1170.39015
Moslehian, Mohammad Sal; Rahbarnia, Freydoon; Sahoo, Prasanna K.
2007
On the stability of Jensen’s functional equation on groups. Zbl 1119.39023
Faĭziev, Valeriĭ A.; Sahoo, Prasanna K.
2007
Some results related to the integral mean value theorem. Zbl 1294.97014
Sahoo, P. K.
2007
On a functional equation related to the determinant of symmetric two-by-two matrices. Zbl 1190.39010
Houston, Kelly B.; Sahoo, Prasanna K.
2007
On a functional equation associated with the trapezoidal rule. Zbl 1146.39036
Sahoo, Prasanna K.
2007
The stability problem of the Hermite-Hadamard inequality. Zbl 1117.39019
Nikodem, Kazimierz; Riedel, Thomas; Sahoo, Prasanna K.
2007
A generalized cubic functional equation. Zbl 1086.39026
Sahoo, P. K.
2005
Geometric properties of certain linear integral transforms. Zbl 1080.30016
Ponnusamy, S.; Sahoo, P.
2005
A thresholding method based on two-dimensional Renyi’s entropy. Zbl 1121.94306
Sahoo, Prasanna K.; Arora, Gurdial
2004
On a functional equation characterizing polynomials of degree three. Zbl 1052.39028
Sahoo, Prasanna K.
2004
Superstability of the generalized orthogonality equation on restricted domains. Zbl 1074.39028
Jung, Soon-Mo; Sahoo, Prasanna K.
2004
On the general solution of a quartic functional equation. Zbl 1048.39017
Chung, Jukang K.; Sahoo, Prasanna K.
2003
On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301
Kannappan, Pl.; Sahoo, P. K.
2003
Hyers-Ulam stability of Flett’s points. Zbl 1047.39018
Das, M.; Riedel, T.; Sahoo, P. K.
2003
Magnetohydrodynamic unsteady free convection flow past an infinite vertical plate with constant suction and heat sink. Zbl 1021.76050
Sahoo, P. K.; Datta, N.; Biswal, S.
2003
Stability of a functional equation of Drygas. Zbl 1022.39028
Jung, Soon-Mo; Sahoo, Prasanna K.
2002
The space of $$(\psi,\gamma)$$-additive mappings on semigroups. Zbl 1043.20035
Faĭziev, Valeriĭ A.; Rassias, Themistocles M.; Sahoo, Prasanna K.
2002
General solution of some functional equations related to the determinant of some symmetric matrices. Zbl 1033.39021
Chung, Jukang K.; Sahoo, Prasanna K.
2002
Stability of a functional equation for square root spirals. Zbl 1016.39020
Jung, Soon-Mo; Sahoo, P. K.
2002
A functional equation on $$\mathbb Z_n \oplus \mathbb Z_n$$. Zbl 1005.39023
Sahoo, P. K.; Székelyhidi, L.
2002
Hyers-Ulam stability of a generalized Hosszú functional equation. Zbl 1028.39010
Jung, Soon-Mo; Sahoo, Prasanna K.
2002
Pseudocharacters and the problem of expressibility for some groups. Zbl 1004.20012
Fajziev, Valerij A.; Sahoo, Prasanna K.
2002
On the stability of the Pompeiu functional equation. Zbl 1013.39013
Jung, Soon-Mo; Sahoo, Prasanna K.
2002
Hyers-Ulam stability of the quadratic equation of Pexider type. Zbl 0980.39023
Jung, Soon-Mo; Sahoo, Prasanna K.
2001
On a functional equation related to digital filtering. Zbl 0992.39025
Sahoo, Prasanna K.; Székelyhidi, László
2001
Flett’s mean value theorem in topological vector spaces. Zbl 1006.58007
Powers, Robert C.; Riedel, Thomas; Sahoo, Prasanna K.
2001
On a functional equation in actuarial mathematics. Zbl 0971.39012
Riedel, T.; Sablik, M.; Sahoo, P. K.
2001
On a functional equation on groups. Zbl 0972.39017
Chung, Jukang K.; Jung, Soon-Mo; Sahoo, Prasanna K.
2001
Flett’s mean value theorem for approximately differentiable functions. Zbl 1081.26001
Das, Manav; Riedel, Thomas; Sahoo, Prasanna K.
2001
A property of quadratic polynomials in two variables. Zbl 1038.34071
Kannappan, P. L.; Sahoo, P. K.
2001
On the stability of a mean value type functional equation. Zbl 0973.39022
Jung, Soon-Mo; Sahoo, Prasanna K.
2000
On a functional equation associated with stochastic distance measures. Zbl 0934.39008
Sahoo, P. K.
1999
Flett’s mean value theorem for holomorphic functions. Zbl 1021.30003
Davitt, R. M.; Powers, R. C.; Riedel, T.; Sahoo, P. K.
1999
Hall effect on oscillatory hydrodynamic free convective flow of a viscoelastic fluid past an infinite vertical porous flat plate with mass transfer. Zbl 0964.76094
Biswal, S.; Sahoo, P. K.
1999
Hyers-Ulam-Rassias stability of an equation of Davison. Zbl 0933.39052
Jung, Soon-Mo; Sahoo, Prasanna K.
1999
Mean value theorems and functional equations. Zbl 0980.39015
Sahoo, P. K.; Riedel, T.
1998
Limit properties of differential mean values. Zbl 0923.26005
Powers, R. C.; Riedel, T.; Sahoo, P. K.
1998
On generalizations of the Pompeiu functional equation. Zbl 0897.39005
Kannappan, Pl.; Sahoo, P. K.
1998
On a class of functional equations in distribution. Zbl 0914.39030
Deeba, Elias; Sahoo, P. K.; Xie, Shishen
1998
On a distributional analog of a sum form functional equation. Zbl 0906.39013
Deeba, E.; Koh, E. L.; Sahoo, P. K.; Xie, Shishen
1998
Characterization of information measures. Zbl 0923.94002
Ebanks, Bruce R.; Sahoo, Prasanna; Sander, Wolfgang
1997
On two functional equations connected with the characterizations of the distance measures. Zbl 0895.39007
Riedel, Thomas; Sahoo, Prasanna K.
1997
Threshold selection using Rényi’s entropy. Zbl 1121.94302
Sahoo, Prasanna; Wilkins, Carrye; Yeager, Jerry
1997
Sum form distance measures between probability distributions and functional equations. Zbl 0882.62007
Kannappan, Pl.; Sahoo, P. K.
1997
On a functional equation associated with Simpson’s rule. Zbl 0879.39007
Kannappan, Pl.; Riedel, T.; Sahoo, P. K.
1997
Characterizations of sum form information measures on open domains. Zbl 0880.39019
Ebanks, Bruce R.; Kannappan, Palaniappan; Sahoo, Prasanna K.; Sander, Wolfgang
1997
On a quadratic-trigonometric functional equation and some applications. Zbl 0830.39014
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.
1995
On a generalization of a functional equation associated with the distance between the probability distributions. Zbl 0860.39032
Riedel, T.; Sahoo, P. K.
1995
A characterization of low degree polynomials. Zbl 0830.39011
Kannappan, Pl.; Sahoo, P. K.; Jacobson, M. S.
1995
Determination of all additive sum form information measures of $$k$$ positive discrete probability distributions. Zbl 0839.94005
Sahoo, P. K.
1995
Three open problems in functional equations. Zbl 0962.39501
Sahoo, P. K.
1995
Characterization of polynomials and divided difference. Zbl 0852.39005
Kannappan, P. L.; Sahoo, P. K.
1995
On generalized rectangular and rhombic functional equations. Zbl 0857.39014
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B.
1995
On a functional equation of Abel. Zbl 0830.39013
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B.
1994
An equation associated with the distance between probability distributions. Zbl 0823.39006
Kannappan, PL.; Sahoo, P. K.; Chung, J. K.
1994
On a functional equation connected with Rao’s quadratic entropy. Zbl 0798.39005
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.
1994
On a functional equation associated with the symmetric divergence measures. Zbl 0845.39007
Kannappan, P. L.; Sahoo, P. K.; Chung, J. K.
1993
Cauchy difference - a generalization of Hosszu functional equation. Zbl 0889.39015
Kannappan, P. L.; Sahoo, P. K.
1993
Characterizations of polynomials with mean value properties. Zbl 0783.39010
Chung, J. K.; Sahoo, P. K.
1993
On a functional equation of Swiatak on groups. Zbl 0782.39008
Chung, J. K.; Ebanks, B. R.; Sahoo, P. K.
1993
Sum form equations of multiplicative type. Zbl 0823.39005
Kannappan, PL.; Sahoo, P. K.
1993
Cauchy differences that depend on the product of arguments. Zbl 0780.39007
Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K.
1992
Rotation invariant separable functions are Gaussian. Zbl 0760.39002
Kannappan, PL.; Sahoo, P. K.
1992
Kullback-Leibler type distance measures between probability distributions. Zbl 0780.60019
Kannappan, PL.; Sahoo, P. K.
1992
A common generalization of functional equations characterizing normed and quasi-inner-product spaces. Zbl 0712.39021
Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K.
1991
Determination of measurable sum form information measures satisfying (2,2)-additivity of degree ($$\alpha$$ ,$$\beta$$ ). Zbl 0708.39003
Ebanks, B.; Sahoo, P. K.; Sander, W.
1990
General solution of two functional equations concerning measures of information. Zbl 0713.39005
Ebanks, B. R.; Sahoo, P. K.; Sander, W.
1990
Representation of sum form information measures with weighted additivity of type $$(\alpha,\beta)$$ on an open domain. Zbl 0708.94007
Kannappan, PL.; Sahoo, P. K.
1990
...and 17 more Documents
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### Cited by 436 Authors

 40 Sahoo, Prasanna K. 23 Chung, Jaeyoung 22 Park, Choonkil 21 Eshaghi Gordji, Madjid 20 Najati, Abbas 17 Kabbaj, Samir 12 Brzdęk, Janusz 12 Ebanks, Bruce R. 12 Elqorachi, Elhoucien 12 Wang, Zhihua 11 Jung, Soon-Mo 11 Rassias, Themistocles Michael 11 Riedel, Thomas 10 El-Fassi, Iz-Iddine 10 Rassias, John Michael 10 Zeglami, Driss 9 Ciepliński, Krzysztof 8 Charifi, Ahmed 8 Khodaei, Hamid 8 Kim, Gwang Hui 8 Moslehian, Mohammad Sal 8 Stetkær, Henrik 7 Almahalebi, Muaadh 7 Fadli, Brahim 6 Cho, Yeol Je 6 Kang, DongSeung 6 Koh, Heejeong 6 Lee, Young-Su 6 Moghimi, Mohammad Bagher Farshbaf 6 Ng, Che Tat 6 Szostok, Tomasz 5 Bae, Jae-Hyeong 5 Bavand Savadkouhi, Meysam 5 Bodaghi, Abasalt 5 Chahbi, Abdellatif 5 Chang, Ick-Soon 5 Chung, Soon-Yeong 5 Ebadian, Ali 5 Hunt, Heather B. 5 Kannappan, Palaniappan 5 Kim, Hark-Mahn 5 Lee, Yang-Hi 5 Sikorska, Justyna 4 Bahyrycz, Anna 4 Bouikhalene, Belaid 4 Choi, Chang-Kwon 4 El-hady, El-sayed 4 Elhoucien, Elqorachi 4 Lee, Jung-Rye 4 Li, Yongjin 4 Monea, Mihai 4 Mortici, Cristinel 4 Mouzoun, Aziz 4 Noori, Batool 4 Nuino, Ahmed 4 Park, Wongil 4 Popa, Dorian 4 Sablik, Maciej 4 Tamilvanan, Kandhasamy 3 Aissi, Youssef 3 Ajebbar, Omar 3 Azadi-Kenary, Hassan 3 Chang, Jeongwook 3 Deeba, Elias Y. 3 Faĭziev, Valeriĭ A. 3 Fechner, Włodzimierz 3 Gselmann, Eszter 3 Ivan, Mircea Dumitru 3 Kim, Dohan 3 Łukasik, Radosław 3 Marinescu, Dan Ştefan 3 Nath, Prem 3 Nikonorov, Yurii Gennadyevich 3 Páles, Zsolt 3 Perkins, Allison M. 3 Piszczek, Magdalena 3 Roh, Jaiok 3 Saadati, Reza 3 Shen, Yonghong 3 Shin, Hwan-Yong 3 Singh, Dhiraj Kumar 3 Sintunavarat, Wutiphol 3 Száz, Árpád 3 Xie, Shishen 3 Yang, Xiuzhong 2 Abel, Ulrich 2 Ahmadi, Majid 2 Badora, Roman 2 Belaid, Bouikhalene 2 Belfakih, Keltouma 2 Chávez, Esteban A. 2 Choi, Ginkyu 2 Dimou, Hajira 2 Ebrahimzadeh, Abolfazl 2 Elfen, Heather Hunt 2 Eslami Giski, Zahra 2 Găvruţă, Paşc 2 Ghaemi, Mohammad Bagher 2 Grabisch, Michel 2 Hryrou, Mustapha Esseghyr ...and 336 more Authors
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### Cited in 134 Serials

 50 Aequationes Mathematicae 26 Journal of Mathematical Analysis and Applications 21 Journal of Inequalities and Applications 19 Results in Mathematics 18 Abstract and Applied Analysis 17 Advances in Difference Equations 14 Acta Mathematica Sinica. English Series 13 Applied Mathematics Letters 10 Applied Mathematics and Computation 9 Proyecciones 8 Acta Mathematica Hungarica 8 Journal of Function Spaces 7 Journal of Fixed Point Theory and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Bulletin of the Australian Mathematical Society 5 Pattern Recognition 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Filomat 4 International Journal of Mathematical Education in Science and Technology 4 Kybernetika 4 Fixed Point Theory and Applications 4 Tbilisi Mathematical Journal 4 Korean Journal of Mathematics 4 AIMS Mathematics 3 Ukrainian Mathematical Journal 3 Demonstratio Mathematica 3 Information Sciences 3 Indagationes Mathematicae. New Series 3 Communications of the Korean Mathematical Society 3 Annales Mathematicae Silesianae 3 Journal of Mathematical Inequalities 3 Journal of Nonlinear Science and Applications 2 Journal of Mathematical Physics 2 Physica A 2 Fuzzy Sets and Systems 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Approximation Theory 2 Monatshefte für Mathematik 2 Semigroup Forum 2 Bulletin of the Korean Mathematical Society 2 Acta Applicandae Mathematicae 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 European Journal of Operational Research 2 Georgian Mathematical Journal 2 Mathematical Inequalities & Applications 2 Discrete Dynamics in Nature and Society 2 Nonlinear Functional Analysis and Applications 2 Central European Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Banach Journal of Mathematical Analysis 2 Acta Universitatis Sapientiae. Mathematica 2 Advances in Pure and Applied Mathematics 2 Mathematical Sciences 2 Mathematics 2 Open Mathematics 1 Computers & Mathematics with Applications 1 Linear and Multilinear Algebra 1 Mathematische Semesterberichte 1 Metrika 1 Physics Reports 1 Psychometrika 1 Reports on Mathematical Physics 1 Chaos, Solitons and Fractals 1 Mathematics Magazine 1 Automatica 1 Dissertationes Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Economics 1 Journal of Multivariate Analysis 1 Kyungpook Mathematical Journal 1 Matematički Vesnik 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Real Analysis Exchange 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Statistics 1 Facta Universitatis. Series Mathematics and Informatics 1 Glasnik Matematički. Serija III 1 Journal of Mathematical Imaging and Vision 1 Tatra Mountains Mathematical Publications 1 Algebra Colloquium 1 Journal of the Egyptian Mathematical Society 1 Fractals 1 Economic Theory 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Arab Journal of Mathematical Sciences 1 Journal of Applied Analysis 1 The Ramanujan Journal 1 Differential Equations and Dynamical Systems 1 Honam Mathematical Journal 1 Matematicheskie Trudy 1 Journal of Interdisciplinary Mathematics ...and 34 more Serials
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### Cited in 44 Fields

 344 Difference and functional equations (39-XX) 64 Functional analysis (46-XX) 48 Real functions (26-XX) 47 Operator theory (47-XX) 29 Information and communication theory, circuits (94-XX) 16 Statistics (62-XX) 14 Computer science (68-XX) 11 Group theory and generalizations (20-XX) 11 Probability theory and stochastic processes (60-XX) 10 General topology (54-XX) 9 Ordinary differential equations (34-XX) 8 Numerical analysis (65-XX) 7 Measure and integration (28-XX) 6 Approximations and expansions (41-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Abstract harmonic analysis (43-XX) 4 Operations research, mathematical programming (90-XX) 4 Mathematics education (97-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX)