Edit Profile (opens in new tab) Sahoo, Prasanna K. Compute Distance To: Compute 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: 169 Publications since 1983, including 3 Books Reviewing Activity: 107 Reviews Co-Authors: 46 Co-Authors with 140 Joint Publications 867 Co-Co-Authors all top 5 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 Ali, Riasat 1 Arora, Gurdial 1 Asgher, Muhammad 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 Assem 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 all top 5 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 Annals of Physics 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 all top 5 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 Geometry (51-XX) 3 Operator theory (47-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 Quantum theory (81-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 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 117 Publications have been cited 696 times in 448 Documents Cited by ▼ Year ▼ Mean value theorems and functional equations. Zbl 0980.39015Sahoo, P. K.; Riedel, T. 65 1998 Introduction to functional equations. Zbl 1223.39012Sahoo, Prasanna K.; Kannappan, Palaniappan 58 2011 On the general solution of a quartic functional equation. Zbl 1048.39017Chung, Jukang K.; Sahoo, Prasanna K. 40 2003 A common generalization of functional equations characterizing normed and quasi-inner-product spaces. Zbl 0712.39021Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K. 38 1991 On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301Kannappan, Pl.; Sahoo, P. K. 28 2003 Stability of a functional equation of Drygas. Zbl 1022.39028Jung, Soon-Mo; Sahoo, Prasanna K. 25 2002 The space of \((\psi,\gamma)\)-additive mappings on semigroups. Zbl 1043.20035Faĭziev, Valeriĭ A.; Rassias, Themistocles M.; Sahoo, Prasanna K. 24 2002 Hyers-Ulam stability of the quadratic equation of Pexider type. Zbl 0980.39023Jung, Soon-Mo; Sahoo, Prasanna K. 22 2001 Measures of distance between probability distributions. Zbl 0669.60025Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K. 19 1989 A generalized cubic functional equation. Zbl 1086.39026Sahoo, P. K. 18 2005 On two functional equations with involution on groups related to sine and cosine functions. Zbl 1333.39025Perkins, Allison M.; Sahoo, Prasanna K. 16 2015 Characterization of information measures. Zbl 0923.94002Ebanks, Bruce R.; Sahoo, Prasanna; Sander, Wolfgang 16 1997 Stability of a generalized Jensen equation on restricted domains. Zbl 1219.39016Jung, S.-M.; Moslehian, M. S.; Sahoo, P. K. 14 2010 Hyers-Ulam stability of Flett’s points. Zbl 1047.39018Das, M.; Riedel, T.; Sahoo, P. K. 13 2003 On a quadratic-trigonometric functional equation and some applications. Zbl 0830.39014Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K. 13 1995 On a generalization of a functional equation associated with the distance between the probability distributions. Zbl 0860.39032Riedel, T.; Sahoo, P. K. 13 1995 On two functional equations and their solutions. Zbl 1152.39316Houston, Kelly B.; Sahoo, Prasanna K. 12 2008 A thresholding method based on two-dimensional Renyi’s entropy. Zbl 1121.94306Sahoo, Prasanna K.; Arora, Gurdial 10 2004 Cauchy differences that depend on the product of arguments. Zbl 0780.39007Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K. 10 1992 On two functional equations connected with the characterizations of the distance measures. Zbl 0895.39007Riedel, Thomas; Sahoo, Prasanna K. 9 1997 General solution of some functional equations related to the determinant of some symmetric matrices. Zbl 1033.39021Chung, Jukang K.; Sahoo, Prasanna K. 9 2002 On a functional equation associated with stochastic distance measures. Zbl 0934.39008Sahoo, P. K. 9 1999 Flett’s mean value theorem for holomorphic functions. Zbl 1021.30003Davitt, R. M.; Powers, R. C.; Riedel, T.; Sahoo, P. K. 8 1999 On a functional equation characterizing polynomials of degree three. Zbl 1052.39028Sahoo, Prasanna K. 7 2004 Threshold selection using Rényi’s entropy. Zbl 1121.94302Sahoo, Prasanna; Wilkins, Carrye; Yeager, Jerry 7 1997 On some functional equations connected to sum form information measures on open domains. Zbl 0524.94008Sahoo, P. K. 7 1983 Limit properties of differential mean values. Zbl 0923.26005Powers, R. C.; Riedel, T.; Sahoo, P. K. 6 1998 Stability of some functional equations related to distance measures. I. Zbl 1216.39037Kim, Gwang Hui; Sahoo, Prasanna K. 6 2011 A variant of a generalized quadratic functional equation on groups. Zbl 1371.39031Elfen, Heather Hunt; Riedel, Thomas; Sahoo, Prasanna K. 6 2017 Solution of Whitehead equation on groups. Zbl 1289.39047Faĭziev, Valeriĭ A.; Sahoo, Prasanna K. 6 2013 On the stability of Drygas functional equation on groups. Zbl 1130.39023Faĭziev, Valerıĭ A.; Sahoo, Prasanna K. 5 2007 Stability of a functional equation for square root spirals. Zbl 1016.39020Jung, Soon-Mo; Sahoo, P. K. 5 2002 A characterization of low degree polynomials. Zbl 0830.39011Kannappan, Pl.; Sahoo, P. K.; Jacobson, M. S. 5 1995 On generalizations of the Pompeiu functional equation. Zbl 0897.39005Kannappan, Pl.; Sahoo, P. K. 5 1998 On a class of functional equations in distribution. Zbl 0914.39030Deeba, Elias; Sahoo, P. K.; Xie, Shishen 5 1998 On a functional equation arising from number theory. Zbl 1211.39012Chávez, Esteban A.; Sahoo, Prasanna K. 5 2011 On functional equations of the multiplicative type. Zbl 1320.39025Chávez, Esteban A.; Sahoo, Prasanna K. 5 2015 Flett’s mean value theorem in topological vector spaces. Zbl 1006.58007Powers, Robert C.; Riedel, Thomas; Sahoo, Prasanna K. 4 2001 Approximate double centralizers are exact double centralizers. Zbl 1170.39015Moslehian, Mohammad Sal; Rahbarnia, Freydoon; Sahoo, Prasanna K. 4 2007 On the order of a derivation. Zbl 1383.39022Ebanks, Bruce; Riedel, Thomas; Sahoo, Prasanna K. 4 2016 On a functional equation related to digital filtering. Zbl 0992.39025Sahoo, Prasanna K.; Székelyhidi, László 4 2001 On a functional equation associated with the symmetric divergence measures. Zbl 0845.39007Kannappan, P. L.; Sahoo, P. K.; Chung, J. K. 4 1993 On the stability of Jensen’s functional equation on groups. Zbl 1119.39023Faĭziev, Valeriĭ A.; Sahoo, Prasanna K. 4 2007 Sum form distance measures between probability distributions and functional equations. Zbl 0882.62007Kannappan, Pl.; Sahoo, P. K. 3 1997 On a functional equation connected to sum form nonadditive information measures on an open domain. Zbl 0568.39004Kannappan, Pl.; Sahoo, P. K. 3 1985 Some results related to the integral mean value theorem. Zbl 1294.97014Sahoo, P. K. 3 2007 Rényi’s entropy of order \(\alpha\) and Shannon’s random cipher result. Zbl 0622.94012Sahoo, P. K. 3 1983 On a functional equation arising from Proth identity. Zbl 1352.39011Chung, Jaeyoung; Sahoo, Prasanna K. 3 2016 Geometric properties of certain linear integral transforms. Zbl 1080.30016Ponnusamy, S.; Sahoo, P. 3 2005 On a functional equation of Abel. Zbl 0830.39013Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B. 3 1994 Determination of measurable sum form information measures satisfying (2,2)-additivity of degree (\(\alpha\) ,\(\beta\) ). Zbl 0708.39003Ebanks, B.; Sahoo, P. K.; Sander, W. 3 1990 General solution of two functional equations concerning measures of information. Zbl 0713.39005Ebanks, B. R.; Sahoo, P. K.; Sander, W. 3 1990 On the stability of a mean value type functional equation. Zbl 0973.39022Jung, Soon-Mo; Sahoo, Prasanna K. 3 2000 On the general solution of a functional equation connected to sum form information measures on open domain. III. Zbl 0628.39009Kannappan, PL.; Sahoo, P. K. 3 1986 Stability of a functional equation related to distance measure. II. Zbl 1203.39018Kim, G. H.; Sahoo, P. K. 3 2010 On a functional equation connected to sum form nonadditive information measures on an open domain. II. Zbl 0652.39010Kannappan, PL.; Sahoo, P. K. 3 1987 Stability of functional equations arising from number theory and determinant of matrices. Zbl 1369.39028Choi, Chang-Kwon; Chung, Jaeyoung; Riedel, Thomas; Sahoo, Prasanna K. 3 2017 Approximation of the mixed additive and cubic functional equation in paranormed spaces. Zbl 1412.39037Wang, Zhihua; Sahoo, Prasanna K. 2 2017 Characterizations of polynomials with mean value properties. Zbl 0783.39010Chung, J. K.; Sahoo, P. K. 2 1993 A variant of the quadratic functional equation on groups and an application. Zbl 1416.39015Elfen, Heather Hunt; Riedel, Thomas; Sahoo, Prasanna K. 2 2017 Hydromagnetic free convection and mass transform flow past an accelerated vertical plate through a porous medium. Zbl 0606.76099Sahoo, D. G.; Sahoo, P. K. 2 1986 Superstability of the generalized orthogonality equation on restricted domains. Zbl 1074.39028Jung, Soon-Mo; Sahoo, Prasanna K. 2 2004 On a functional equation related to the determinant of symmetric two-by-two matrices. Zbl 1190.39010Houston, Kelly B.; Sahoo, Prasanna K. 2 2007 Magnetohydrodynamic unsteady free convection flow past an infinite vertical plate with constant suction and heat sink. Zbl 1021.76050Sahoo, P. K.; Datta, N.; Biswal, S. 2 2003 Stability of the cosine-sine functional equation with involution. Zbl 1374.39034Chang, Jeongwook; Choi, Chang-Kwon; Kim, Jongjin; Sahoo, Prasanna K. 2 2017 On a functional equation associated with Simpson’s rule. Zbl 0879.39007Kannappan, Pl.; Riedel, T.; Sahoo, P. K. 2 1997 Characterizations of sum form information measures on open domains. Zbl 0880.39019Ebanks, Bruce R.; Kannappan, Palaniappan; Sahoo, Prasanna K.; Sander, Wolfgang 2 1997 Flett’s mean value theorem for approximately differentiable functions. Zbl 1081.26001Das, Manav; Riedel, Thomas; Sahoo, Prasanna K. 2 2001 Determination of all additive sum form information measures of \(k\) positive discrete probability distributions. Zbl 0839.94005Sahoo, P. K. 2 1995 Sum form information measures on open domain. Zbl 0701.39007Sahoo, P. K.; Sander, W. 2 1989 Three open problems in functional equations. Zbl 0962.39501Sahoo, P. K. 2 1995 Characterization of polynomials and divided difference. Zbl 0852.39005Kannappan, P. L.; Sahoo, P. K. 2 1995 Cauchy difference - a generalization of Hosszu functional equation. Zbl 0889.39015Kannappan, P. L.; Sahoo, P. K. 2 1993 On a distributional analog of a sum form functional equation. Zbl 0906.39013Deeba, E.; Koh, E. L.; Sahoo, P. K.; Xie, Shishen 2 1998 The stability problem of the Hermite-Hadamard inequality. Zbl 1117.39019Nikodem, Kazimierz; Riedel, Thomas; Sahoo, Prasanna K. 2 2007 Representation of sum form information measures with weighted additivity of type \((\alpha,\beta)\) on an open domain. Zbl 0708.94007Kannappan, PL.; Sahoo, P. K. 2 1990 Rotation invariant separable functions are Gaussian. Zbl 0760.39002Kannappan, PL.; Sahoo, P. K. 2 1992 On a functional equation in actuarial mathematics. Zbl 0971.39012Riedel, T.; Sablik, M.; Sahoo, P. K. 2 2001 On a functional equation on groups. Zbl 0972.39017Chung, Jukang K.; Jung, Soon-Mo; Sahoo, Prasanna K. 2 2001 On a functional equation associated with the trapezoidal rule. Zbl 1146.39036Sahoo, Prasanna K. 2 2007 On a functional equation connected to sum form nonadditive information measures on an open domain. I. Zbl 0609.39005Kannappan, PL.; Sahoo, P. K. 2 1986 On a functional equation associated with the trapezoidal rule. Zbl 1184.39009Sahoo, Prasanna K. 2 2009 Solution of several functional equations on nonunital semigroups using Wilson’s functional equations with involution. Zbl 1412.39025Chung, Jaeyoung; Sahoo, Prasanna K. 2 2014 Yet another variant of the Drygas functional equation on groups. Zbl 1390.39091Sahoo, Prasanna K. 2 2017 Quasi-mean value theorems for symmetrically differentiable functions. Zbl 1260.26004Sahoo, Prasanna K. 2 2011 A functional equation with involution related to the cosine function. Zbl 1341.39010Perkins, Allison M.; Sahoo, Prasanna K. 2 2016 Stability of an ACQ-functional equation in various matrix normed spaces. Zbl 1310.39016Wang, Zhihua; Sahoo, Prasanna K. 2 2015 Stability of Wilson’s functional equations with involutions. Zbl 1354.39020Chung, Jaeyoung; Sahoo, Prasanna K. 2 2015 On a generalization of the Shannon functional inequality. Zbl 0674.94005Kannappan, PL.; Sahoo, P. K. 1 1989 On Higashi and Klir’s conjecture on a measure of information closeness. Zbl 0554.94008Sahoo, P. K. 1 1984 Pseudocharacters and the problem of expressibility for some groups. Zbl 1004.20012Fajziev, Valerij A.; Sahoo, Prasanna K. 1 2002 On the stability of the Pompeiu functional equation. Zbl 1013.39013Jung, Soon-Mo; Sahoo, Prasanna K. 1 2002 A functional equation on \(\mathbb Z_n \oplus \mathbb Z_n\). Zbl 1005.39023Sahoo, P. K.; Székelyhidi, L. 1 2002 On a generalization of Shannon’s random cipher result. Zbl 0618.94007Sahoo, Prasanna K. 1 1986 On the stability of the quadratic equation on groups. Zbl 1183.39018Faĭziev, Valeriĭ A.; Sahoo, Prasanna K. 1 2008 Hyers-Ulam stability of a generalized Hosszú functional equation. Zbl 1028.39010Jung, Soon-Mo; Sahoo, Prasanna K. 1 2002 A property of quadratic polynomials in two variables. Zbl 1038.34071Kannappan, P. L.; Sahoo, P. K. 1 2001 Level sets-based image segmentation approach using statistical shape priors. Zbl 1428.94022Eltanboly, Ahmed; Ghazal, Mohammed; Hajjdiab, Hassan; Shalaby, Ahmed; Switala, Andy; Mahmoud, Ali; Sahoo, Prasanna; El-Azab, Magdi; El-Baz, Ayman 1 2019 Hyers-Ulam-Rassias stability of an equation of Davison. Zbl 0933.39052Jung, Soon-Mo; Sahoo, Prasanna K. 1 1999 Hall effect on oscillatory hydrodynamic free convective flow of a viscoelastic fluid past an infinite vertical porous flat plate with mass transfer. Zbl 0964.76094Biswal, S.; Sahoo, P. K. 1 1999 Level sets-based image segmentation approach using statistical shape priors. Zbl 1428.94022Eltanboly, Ahmed; Ghazal, Mohammed; Hajjdiab, Hassan; Shalaby, Ahmed; Switala, Andy; Mahmoud, Ali; Sahoo, Prasanna; El-Azab, Magdi; El-Baz, Ayman 1 2019 A variant of a generalized quadratic functional equation on groups. Zbl 1371.39031Elfen, Heather Hunt; Riedel, Thomas; Sahoo, Prasanna K. 6 2017 Stability of functional equations arising from number theory and determinant of matrices. Zbl 1369.39028Choi, Chang-Kwon; Chung, Jaeyoung; Riedel, Thomas; Sahoo, Prasanna K. 3 2017 Approximation of the mixed additive and cubic functional equation in paranormed spaces. Zbl 1412.39037Wang, Zhihua; Sahoo, Prasanna K. 2 2017 A variant of the quadratic functional equation on groups and an application. Zbl 1416.39015Elfen, Heather Hunt; Riedel, Thomas; Sahoo, Prasanna K. 2 2017 Stability of the cosine-sine functional equation with involution. Zbl 1374.39034Chang, Jeongwook; Choi, Chang-Kwon; Kim, Jongjin; Sahoo, Prasanna K. 2 2017 Yet another variant of the Drygas functional equation on groups. Zbl 1390.39091Sahoo, Prasanna K. 2 2017 On the order of a derivation. Zbl 1383.39022Ebanks, Bruce; Riedel, Thomas; Sahoo, Prasanna K. 4 2016 On a functional equation arising from Proth identity. Zbl 1352.39011Chung, Jaeyoung; Sahoo, Prasanna K. 3 2016 A functional equation with involution related to the cosine function. Zbl 1341.39010Perkins, Allison M.; Sahoo, Prasanna K. 2 2016 Stability of the pexiderized quadratic functional equation in paranormed spaces. Zbl 1462.39028Wang, Zhihua; Sahoo, Prasanna K. 1 2016 Stability of functional equations of \(n\)-Apollonius type in fuzzy ternary Banach algebras. Zbl 1393.39016Wang, Zhihua; Sahoo, Prasanna K. 1 2016 On two functional equations with involution on groups related to sine and cosine functions. Zbl 1333.39025Perkins, Allison M.; Sahoo, Prasanna K. 16 2015 On functional equations of the multiplicative type. Zbl 1320.39025Chávez, Esteban A.; Sahoo, Prasanna K. 5 2015 Stability of an ACQ-functional equation in various matrix normed spaces. Zbl 1310.39016Wang, Zhihua; Sahoo, Prasanna K. 2 2015 Stability of Wilson’s functional equations with involutions. Zbl 1354.39020Chung, Jaeyoung; Sahoo, Prasanna K. 2 2015 Stability of a Pexider type functional equation related to distance measures. Zbl 1346.39040Kim, Gwang Hui; Sahoo, Prasanna K. 1 2015 Solution of several functional equations on nonunital semigroups using Wilson’s functional equations with involution. Zbl 1412.39025Chung, Jaeyoung; Sahoo, Prasanna K. 2 2014 Solution of Whitehead equation on groups. Zbl 1289.39047Faĭziev, Valeriĭ A.; Sahoo, Prasanna K. 6 2013 Stability of a simple Levi-Civitá functional equation on non-unital commutative semigroups. Zbl 1308.39024Chung, Jaeyoung; Hunt, Heather; Perkins, Allison; Sahoo, Prasanna K. 1 2013 Introduction to functional equations. Zbl 1223.39012Sahoo, Prasanna K.; Kannappan, Palaniappan 58 2011 Stability of some functional equations related to distance measures. I. Zbl 1216.39037Kim, Gwang Hui; Sahoo, Prasanna K. 6 2011 On a functional equation arising from number theory. Zbl 1211.39012Chávez, Esteban A.; Sahoo, Prasanna K. 5 2011 Quasi-mean value theorems for symmetrically differentiable functions. Zbl 1260.26004Sahoo, Prasanna K. 2 2011 Stability of a generalized Jensen equation on restricted domains. Zbl 1219.39016Jung, S.-M.; Moslehian, M. S.; Sahoo, P. K. 14 2010 Stability of a functional equation related to distance measure. II. Zbl 1203.39018Kim, G. H.; Sahoo, P. K. 3 2010 On a functional equation associated with the trapezoidal rule. Zbl 1184.39009Sahoo, Prasanna K. 2 2009 On \((\psi, \gamma)\)-stability of Cauchy equation on some noncommutative groups. Zbl 1265.39051Faĭziev, Valeriĭ A.; Sahoo, Prasanna K. 1 2009 Stability of a Sincov type functional equation. Zbl 1205.39030Sahoo, Prasanna K. 1 2009 On two functional equations and their solutions. Zbl 1152.39316Houston, Kelly B.; Sahoo, Prasanna K. 12 2008 On the stability of the quadratic equation on groups. Zbl 1183.39018Faĭziev, Valeriĭ A.; Sahoo, Prasanna K. 1 2008 On the stability of Drygas functional equation on groups. Zbl 1130.39023Faĭziev, Valerıĭ A.; Sahoo, Prasanna K. 5 2007 Approximate double centralizers are exact double centralizers. Zbl 1170.39015Moslehian, Mohammad Sal; Rahbarnia, Freydoon; Sahoo, Prasanna K. 4 2007 On the stability of Jensen’s functional equation on groups. Zbl 1119.39023Faĭziev, Valeriĭ A.; Sahoo, Prasanna K. 4 2007 Some results related to the integral mean value theorem. Zbl 1294.97014Sahoo, P. K. 3 2007 On a functional equation related to the determinant of symmetric two-by-two matrices. Zbl 1190.39010Houston, Kelly B.; Sahoo, Prasanna K. 2 2007 The stability problem of the Hermite-Hadamard inequality. Zbl 1117.39019Nikodem, Kazimierz; Riedel, Thomas; Sahoo, Prasanna K. 2 2007 On a functional equation associated with the trapezoidal rule. Zbl 1146.39036Sahoo, Prasanna K. 2 2007 A generalized cubic functional equation. Zbl 1086.39026Sahoo, P. K. 18 2005 Geometric properties of certain linear integral transforms. Zbl 1080.30016Ponnusamy, S.; Sahoo, P. 3 2005 A thresholding method based on two-dimensional Renyi’s entropy. Zbl 1121.94306Sahoo, Prasanna K.; Arora, Gurdial 10 2004 On a functional equation characterizing polynomials of degree three. Zbl 1052.39028Sahoo, Prasanna K. 7 2004 Superstability of the generalized orthogonality equation on restricted domains. Zbl 1074.39028Jung, Soon-Mo; Sahoo, Prasanna K. 2 2004 On the general solution of a quartic functional equation. Zbl 1048.39017Chung, Jukang K.; Sahoo, Prasanna K. 40 2003 On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301Kannappan, Pl.; Sahoo, P. K. 28 2003 Hyers-Ulam stability of Flett’s points. Zbl 1047.39018Das, M.; Riedel, T.; Sahoo, P. K. 13 2003 Magnetohydrodynamic unsteady free convection flow past an infinite vertical plate with constant suction and heat sink. Zbl 1021.76050Sahoo, P. K.; Datta, N.; Biswal, S. 2 2003 Stability of a functional equation of Drygas. Zbl 1022.39028Jung, Soon-Mo; Sahoo, Prasanna K. 25 2002 The space of \((\psi,\gamma)\)-additive mappings on semigroups. Zbl 1043.20035Faĭziev, Valeriĭ A.; Rassias, Themistocles M.; Sahoo, Prasanna K. 24 2002 General solution of some functional equations related to the determinant of some symmetric matrices. Zbl 1033.39021Chung, Jukang K.; Sahoo, Prasanna K. 9 2002 Stability of a functional equation for square root spirals. Zbl 1016.39020Jung, Soon-Mo; Sahoo, P. K. 5 2002 Pseudocharacters and the problem of expressibility for some groups. Zbl 1004.20012Fajziev, Valerij A.; Sahoo, Prasanna K. 1 2002 On the stability of the Pompeiu functional equation. Zbl 1013.39013Jung, Soon-Mo; Sahoo, Prasanna K. 1 2002 A functional equation on \(\mathbb Z_n \oplus \mathbb Z_n\). Zbl 1005.39023Sahoo, P. K.; Székelyhidi, L. 1 2002 Hyers-Ulam stability of a generalized Hosszú functional equation. Zbl 1028.39010Jung, Soon-Mo; Sahoo, Prasanna K. 1 2002 Hyers-Ulam stability of the quadratic equation of Pexider type. Zbl 0980.39023Jung, Soon-Mo; Sahoo, Prasanna K. 22 2001 Flett’s mean value theorem in topological vector spaces. Zbl 1006.58007Powers, Robert C.; Riedel, Thomas; Sahoo, Prasanna K. 4 2001 On a functional equation related to digital filtering. Zbl 0992.39025Sahoo, Prasanna K.; Székelyhidi, László 4 2001 Flett’s mean value theorem for approximately differentiable functions. Zbl 1081.26001Das, Manav; Riedel, Thomas; Sahoo, Prasanna K. 2 2001 On a functional equation in actuarial mathematics. Zbl 0971.39012Riedel, T.; Sablik, M.; Sahoo, P. K. 2 2001 On a functional equation on groups. Zbl 0972.39017Chung, Jukang K.; Jung, Soon-Mo; Sahoo, Prasanna K. 2 2001 A property of quadratic polynomials in two variables. Zbl 1038.34071Kannappan, P. L.; Sahoo, P. K. 1 2001 On the stability of a mean value type functional equation. Zbl 0973.39022Jung, Soon-Mo; Sahoo, Prasanna K. 3 2000 On a functional equation associated with stochastic distance measures. Zbl 0934.39008Sahoo, P. K. 9 1999 Flett’s mean value theorem for holomorphic functions. Zbl 1021.30003Davitt, R. M.; Powers, R. C.; Riedel, T.; Sahoo, P. K. 8 1999 Hyers-Ulam-Rassias stability of an equation of Davison. Zbl 0933.39052Jung, Soon-Mo; Sahoo, Prasanna K. 1 1999 Hall effect on oscillatory hydrodynamic free convective flow of a viscoelastic fluid past an infinite vertical porous flat plate with mass transfer. Zbl 0964.76094Biswal, S.; Sahoo, P. K. 1 1999 Mean value theorems and functional equations. Zbl 0980.39015Sahoo, P. K.; Riedel, T. 65 1998 Limit properties of differential mean values. Zbl 0923.26005Powers, R. C.; Riedel, T.; Sahoo, P. K. 6 1998 On generalizations of the Pompeiu functional equation. Zbl 0897.39005Kannappan, Pl.; Sahoo, P. K. 5 1998 On a class of functional equations in distribution. Zbl 0914.39030Deeba, Elias; Sahoo, P. K.; Xie, Shishen 5 1998 On a distributional analog of a sum form functional equation. Zbl 0906.39013Deeba, E.; Koh, E. L.; Sahoo, P. K.; Xie, Shishen 2 1998 Characterization of information measures. Zbl 0923.94002Ebanks, Bruce R.; Sahoo, Prasanna; Sander, Wolfgang 16 1997 On two functional equations connected with the characterizations of the distance measures. Zbl 0895.39007Riedel, Thomas; Sahoo, Prasanna K. 9 1997 Threshold selection using Rényi’s entropy. Zbl 1121.94302Sahoo, Prasanna; Wilkins, Carrye; Yeager, Jerry 7 1997 Sum form distance measures between probability distributions and functional equations. Zbl 0882.62007Kannappan, Pl.; Sahoo, P. K. 3 1997 On a functional equation associated with Simpson’s rule. Zbl 0879.39007Kannappan, Pl.; Riedel, T.; Sahoo, P. K. 2 1997 Characterizations of sum form information measures on open domains. Zbl 0880.39019Ebanks, Bruce R.; Kannappan, Palaniappan; Sahoo, Prasanna K.; Sander, Wolfgang 2 1997 On a quadratic-trigonometric functional equation and some applications. Zbl 0830.39014Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K. 13 1995 On a generalization of a functional equation associated with the distance between the probability distributions. Zbl 0860.39032Riedel, T.; Sahoo, P. K. 13 1995 A characterization of low degree polynomials. Zbl 0830.39011Kannappan, Pl.; Sahoo, P. K.; Jacobson, M. S. 5 1995 Determination of all additive sum form information measures of \(k\) positive discrete probability distributions. Zbl 0839.94005Sahoo, P. K. 2 1995 Three open problems in functional equations. Zbl 0962.39501Sahoo, P. K. 2 1995 Characterization of polynomials and divided difference. Zbl 0852.39005Kannappan, P. L.; Sahoo, P. K. 2 1995 On generalized rectangular and rhombic functional equations. Zbl 0857.39014Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B. 1 1995 On a functional equation of Abel. Zbl 0830.39013Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B. 3 1994 An equation associated with the distance between probability distributions. Zbl 0823.39006Kannappan, PL.; Sahoo, P. K.; Chung, J. K. 1 1994 On a functional equation connected with Rao’s quadratic entropy. Zbl 0798.39005Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K. 1 1994 On a functional equation associated with the symmetric divergence measures. Zbl 0845.39007Kannappan, P. L.; Sahoo, P. K.; Chung, J. K. 4 1993 Characterizations of polynomials with mean value properties. Zbl 0783.39010Chung, J. K.; Sahoo, P. K. 2 1993 Cauchy difference - a generalization of Hosszu functional equation. Zbl 0889.39015Kannappan, P. L.; Sahoo, P. K. 2 1993 On a functional equation of Swiatak on groups. Zbl 0782.39008Chung, J. K.; Ebanks, B. R.; Sahoo, P. K. 1 1993 Sum form equations of multiplicative type. Zbl 0823.39005Kannappan, PL.; Sahoo, P. K. 1 1993 Cauchy differences that depend on the product of arguments. Zbl 0780.39007Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K. 10 1992 Rotation invariant separable functions are Gaussian. Zbl 0760.39002Kannappan, PL.; Sahoo, P. K. 2 1992 Kullback-Leibler type distance measures between probability distributions. Zbl 0780.60019Kannappan, PL.; Sahoo, P. K. 1 1992 A common generalization of functional equations characterizing normed and quasi-inner-product spaces. Zbl 0712.39021Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K. 38 1991 Determination of measurable sum form information measures satisfying (2,2)-additivity of degree (\(\alpha\) ,\(\beta\) ). Zbl 0708.39003Ebanks, B.; Sahoo, P. K.; Sander, W. 3 1990 General solution of two functional equations concerning measures of information. Zbl 0713.39005Ebanks, B. R.; Sahoo, P. K.; Sander, W. 3 1990 Representation of sum form information measures with weighted additivity of type \((\alpha,\beta)\) on an open domain. Zbl 0708.94007Kannappan, PL.; Sahoo, P. K. 2 1990 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 455 Authors 40 Sahoo, Prasanna K. 23 Chung, Jaeyoung 23 Park, Choonkil 21 Eshaghi Gordji, Madjid 20 Najati, Abbas 19 Kabbaj, Samir 12 Brzdęk, Janusz 12 Ebanks, Bruce R. 12 El-Fassi, Iz-Iddine 12 Elqorachi, Elhoucien 12 Wang, Zhihua 11 Jung, Soon-Mo 11 Rassias, Themistocles Michael 11 Riedel, Thomas 11 Zeglami, Driss 10 Rassias, John Michael 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 Bodaghi, Abasalt 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 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 Mouzoun, Aziz 5 Popa, Dorian 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 Noori, Batool 4 Nuino, Ahmed 4 Park, Wongil 4 Sablik, Maciej 4 Tamilvanan, Kandhasamy 3 Aissi, Youssef 3 Ajebbar, Omar 3 Azadi-Kenary, Hassan 3 Chang, Jeongwook 3 Deeba, Elias Y. 3 Eslami Giski, Zahra 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 El Ghali, Rachid 2 Elfen, Heather Hunt 2 Găvruţă, Paşc 2 Ghaemi, Mohammad Bagher 2 Grabisch, Michel ...and 355 more Authors all top 5 Cited in 139 Serials 51 Aequationes Mathematicae 26 Journal of Mathematical Analysis and Applications 21 Journal of Inequalities and Applications 20 Results in Mathematics 18 Abstract and Applied Analysis 17 Advances in Difference Equations 14 Acta Mathematica Sinica. 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Mathematica 2 Advances in Pure and Applied Mathematics 2 Journal of Mahani Mathematical Research Center 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 Statistics & Probability Letters 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 Arab Journal of Mathematical Sciences 1 Journal of Applied Analysis 1 The Ramanujan Journal 1 Differential Equations and Dynamical Systems 1 Honam Mathematical Journal ...and 39 more Serials all top 5 Cited in 44 Fields 350 Difference and functional equations (39-XX) 66 Functional analysis (46-XX) 47 Real functions (26-XX) 47 Operator theory (47-XX) 29 Information and communication theory, circuits (94-XX) 15 Statistics (62-XX) 12 Probability theory and stochastic processes (60-XX) 12 Computer science (68-XX) 11 General topology (54-XX) 10 Group theory and generalizations (20-XX) 10 Ordinary differential equations (34-XX) 9 Numerical analysis (65-XX) 7 Approximations and expansions (41-XX) 6 Measure and integration (28-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Abstract harmonic analysis (43-XX) 5 Operations research, mathematical programming (90-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Mathematics education (97-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-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 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year