## Bullen, Peter S.

Compute Distance To:
 Author ID: bullen.peter-s Published as: Bullen, P. S.; Bullen, Peter; Bullen, Peter S. more...less External Links: MGP
 Documents Indexed: 84 Publications since 1961, including 3 Books 3 Contributions as Editor Reviewing Activity: 208 Reviews Co-Authors: 17 Co-Authors with 18 Joint Publications 683 Co-Co-Authors
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### Co-Authors

 58 single-authored 5 Sarkhel, D. N. 4 Výborný, Rudolf 3 Alić, Mladen 3 Pečarić, Josip 3 Vasic, Petar M. 3 Volenec, Vladimir 2 Lee, Peng Yee 2 Mitrinović, Dragoslav S. 1 Hajja, Mowaffaq 1 Liu, Genqian 1 Marcus, Marvin D. 1 Matkowski, Janusz 1 Mawhin, Jean L. 1 Neuman, Edward 1 Pfeffer, Washek Frank 1 Simić, Slavko 1 Stankovic, Ljubomir R.
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### Serials

 11 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique 8 Canadian Mathematical Bulletin 6 Menemui Matematik 6 Canadian Journal of Mathematics 6 Real Analysis Exchange 3 Pacific Journal of Mathematics 3 Southeast Asian Bulletin of Mathematics 3 Mathematical Inequalities & Applications 2 International Journal of Mathematical Education in Science and Technology 2 Publikacije Elektrotehnickog Fakulteta. Univerzitat u Beogradu. Serija Matematika i Fizika 2 Buletinul Institutului Politehnic din Iași. Secția I 2 Journal of the Australian Mathematical Society. Series A 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Mathematica Balkanica 1 Mathematics Magazine 1 Fundamenta Mathematicae 1 Indian Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematica Japonica 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Mathematica Bohemica 1 Aequationes Mathematicae 1 Mathematical Chronicle 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Mathematical Communications 1 Scientiae Mathematicae Japonicae 1 Journal of the Australian Mathematical Society 1 Journal of the Indonesian Mathematical Society 1 Lecture Notes in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Mathematics and its Applications. East European Series 1 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 Mathematical Medley 1 Monographs and Research Notes in Mathematics
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### Fields

 69 Real functions (26-XX) 4 Measure and integration (28-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

51 Publications have been cited 540 times in 485 Documents Cited by Year
Handbook of means and their inequalities. Zbl 1035.26024
Bullen, P. S.
2003
Means and their inequalities. Rev. and updated transl. from the Serbo- Croatian original. Zbl 0687.26005
1988
A dictionary of inequalities. Zbl 0934.26003
Bullen, P. S.
1998
A criterion for $$n$$-convexity. Zbl 0194.08602
Bullen, P. S.
1971
Means and their inequalities. I. Zbl 0422.26009
Mitrinovic, D. S.; Bullen, P. S.; Vasic, P. M.
1977
An inequality of N. Levinson. Zbl 0268.26014
Bullen, P. S.
1973
Error estimates for some elementary quadrature rules. Zbl 0433.65014
Bullen, P. S.
1978
Peano derivatives and general integrals. Zbl 0252.26002
Bullen, P. S.; Mukhopadhyay, S. N.
1973
Symmetric means and matrix inequalities. Zbl 0096.24604
Bullen, Peter; Marcus, Marvin
1961
On the solution of $$(dy/dx)_{ap}=f(x,y)$$. Zbl 0644.34005
Bullen, P. S.; Sarkhel, D. N.
1987
Some more inequalities involving the arithmetic and geometric means. Zbl 0152.24202
Bullen, P. S.
1967
A problem of A. Oppenheim. Zbl 0266.26016
Bullen, P. S.; Vasic, P. M.; Stankovic, Lj.
1973
A chapter on inequalities. Zbl 0805.26016
Bullen, P. S.
1993
Integration by parts formulae for some trigonometric integrals. Zbl 0289.26011
Bullen, P. S.; Mukhopadhyay, S. N.
1974
Dictionary of inequalities. 2nd edition. Zbl 1316.26017
Bullen, Peter
2015
On the geometric-arithmetic mean inequality for matrices. Zbl 0899.26006
Alić, M.; Bullen, P. S.; Pečarić, J. E.; Volenec, V.
1997
The P$$^n$$-integral. Zbl 0245.26002
Bullen, P. S.
1972
Averages still on the move. Zbl 0736.26009
Bullen, P. S.
1990
The Burkill approximately continuous integral. Zbl 0533.26005
Bullen, P. S.
1983
Non-absolute integrals: A survey. Zbl 0438.26004
Bullen, P. S.
1980
On some forms of Whiteley. Zbl 0317.26020
Bullen, P. S.
1975
Properties of the coefficients of orthonormal sequences. Zbl 0109.04202
Bullen, P. S.
1961
Some inequalities for symmetric means. Zbl 0145.28001
Bullen, P. S.
1965
On some theorems of Popoviciu. Zbl 0187.31603
Bullen, P. S.
1969
A survey of integration by parts for Perron integrals. Zbl 0609.26005
Bullen, P. S.
1986
Some applications of a theorem of Marcinkiewicz. Zbl 0739.26003
Bullen, P. S.; Výborný, R.
1991
Accentuate the negative. Zbl 1212.26041
Bullen, P. S.
2009
The Burkill approximately continuous integral. II. Zbl 0533.26006
Bullen, P. S.
1983
Inequalities due to T. S. Nanjundiah. Zbl 0954.26008
Bullen, P. S.
1998
The Steffensen inequality. Zbl 0201.38801
Bullen, P. S.
1970
The inequalities of Rado and Popoviciu. Zbl 0208.07604
Bullen, P. S.
1970
Rado’s inequality. Zbl 0222.26016
Bullen, P. S.
1971
On the Peano derivatives. Zbl 0224.26005
Bullen, P. S.; Mukhopadhyay, S. N.
1973
The inequality of Young. Zbl 0233.26016
Bullen, P. S.
1971
On the integrals of Perron type. Zbl 0241.26008
Bullen, P. S.; Lee, C. M.
1973
Relations between some general nth-order derivatives. Zbl 0289.26009
Bullen, P. S.; Mukhopadhyay, S. N.
1974
Arzelà’s dominated convergence theorem for the Riemann integral. Zbl 0863.26010
Bullen, P. S.; Výborný, R.
1996
Construction of primitives of generalized derivatives with applications to trigonometric series. Zbl 0099.27501
Bullen, P. S.
1961
On a theorem of Privaloff. Zbl 0148.36201
Bullen, P. S.
1967
An inequality due to Henrici. Zbl 0175.04903
Bullen, P. S.
1969
The Peano derivative and the $$M_ 2$$ property of Zahorski. Zbl 0629.26005
Bullen, P. S.; Mukhopadhyay, S. N.
1986
An unconvincing counterexample. Zbl 0644.26008
Bullen, P. S.
1988
New integrals. Proceedings of the Henstock conference (12th summer symposium in real analysis), held in Coleraine, Northern Ireland, August 9-12, 1988. Zbl 0701.00010
1990
On Darboux and mean value properties. Zbl 0585.26004
Bullen, P. S.; Sarkhel, D. N.
1987
An inequality for variations. Zbl 0594.26008
Bullen, P. S.
1983
Denjoy’s index and porosity. Zbl 0595.26001
Bullen, P. S.
1985
An application of Rado’s inequality. Zbl 0333.26007
Bullen, P. S.
1974
Some applications of a theorem of Marcinkiewicz. Zbl 0724.26007
Bullen, P. S.
1990
Properties of $$Baire^*$$-1 Darboux functions and some mean value theorems for Peano derivatives. Zbl 0726.26002
Bullen, P. S.; Mukhopadhyay, S. N.
1991
Means and their inequalities. Zbl 1286.26002
2013
A simple proof of integration by parts for the Perron integral. Zbl 0534.26008
Bullen, P. S.
1985
Dictionary of inequalities. 2nd edition. Zbl 1316.26017
Bullen, Peter
2015
Means and their inequalities. Zbl 1286.26002
2013
Accentuate the negative. Zbl 1212.26041
Bullen, P. S.
2009
Handbook of means and their inequalities. Zbl 1035.26024
Bullen, P. S.
2003
A dictionary of inequalities. Zbl 0934.26003
Bullen, P. S.
1998
Inequalities due to T. S. Nanjundiah. Zbl 0954.26008
Bullen, P. S.
1998
On the geometric-arithmetic mean inequality for matrices. Zbl 0899.26006
Alić, M.; Bullen, P. S.; Pečarić, J. E.; Volenec, V.
1997
Arzelà’s dominated convergence theorem for the Riemann integral. Zbl 0863.26010
Bullen, P. S.; Výborný, R.
1996
A chapter on inequalities. Zbl 0805.26016
Bullen, P. S.
1993
Some applications of a theorem of Marcinkiewicz. Zbl 0739.26003
Bullen, P. S.; Výborný, R.
1991
Properties of $$Baire^*$$-1 Darboux functions and some mean value theorems for Peano derivatives. Zbl 0726.26002
Bullen, P. S.; Mukhopadhyay, S. N.
1991
Averages still on the move. Zbl 0736.26009
Bullen, P. S.
1990
New integrals. Proceedings of the Henstock conference (12th summer symposium in real analysis), held in Coleraine, Northern Ireland, August 9-12, 1988. Zbl 0701.00010
1990
Some applications of a theorem of Marcinkiewicz. Zbl 0724.26007
Bullen, P. S.
1990
Means and their inequalities. Rev. and updated transl. from the Serbo- Croatian original. Zbl 0687.26005
1988
An unconvincing counterexample. Zbl 0644.26008
Bullen, P. S.
1988
On the solution of $$(dy/dx)_{ap}=f(x,y)$$. Zbl 0644.34005
Bullen, P. S.; Sarkhel, D. N.
1987
On Darboux and mean value properties. Zbl 0585.26004
Bullen, P. S.; Sarkhel, D. N.
1987
A survey of integration by parts for Perron integrals. Zbl 0609.26005
Bullen, P. S.
1986
The Peano derivative and the $$M_ 2$$ property of Zahorski. Zbl 0629.26005
Bullen, P. S.; Mukhopadhyay, S. N.
1986
Denjoy’s index and porosity. Zbl 0595.26001
Bullen, P. S.
1985
A simple proof of integration by parts for the Perron integral. Zbl 0534.26008
Bullen, P. S.
1985
The Burkill approximately continuous integral. Zbl 0533.26005
Bullen, P. S.
1983
The Burkill approximately continuous integral. II. Zbl 0533.26006
Bullen, P. S.
1983
An inequality for variations. Zbl 0594.26008
Bullen, P. S.
1983
Non-absolute integrals: A survey. Zbl 0438.26004
Bullen, P. S.
1980
Error estimates for some elementary quadrature rules. Zbl 0433.65014
Bullen, P. S.
1978
Means and their inequalities. I. Zbl 0422.26009
Mitrinovic, D. S.; Bullen, P. S.; Vasic, P. M.
1977
On some forms of Whiteley. Zbl 0317.26020
Bullen, P. S.
1975
Integration by parts formulae for some trigonometric integrals. Zbl 0289.26011
Bullen, P. S.; Mukhopadhyay, S. N.
1974
Relations between some general nth-order derivatives. Zbl 0289.26009
Bullen, P. S.; Mukhopadhyay, S. N.
1974
An application of Rado’s inequality. Zbl 0333.26007
Bullen, P. S.
1974
An inequality of N. Levinson. Zbl 0268.26014
Bullen, P. S.
1973
Peano derivatives and general integrals. Zbl 0252.26002
Bullen, P. S.; Mukhopadhyay, S. N.
1973
A problem of A. Oppenheim. Zbl 0266.26016
Bullen, P. S.; Vasic, P. M.; Stankovic, Lj.
1973
On the Peano derivatives. Zbl 0224.26005
Bullen, P. S.; Mukhopadhyay, S. N.
1973
On the integrals of Perron type. Zbl 0241.26008
Bullen, P. S.; Lee, C. M.
1973
The P$$^n$$-integral. Zbl 0245.26002
Bullen, P. S.
1972
A criterion for $$n$$-convexity. Zbl 0194.08602
Bullen, P. S.
1971
Rado’s inequality. Zbl 0222.26016
Bullen, P. S.
1971
The inequality of Young. Zbl 0233.26016
Bullen, P. S.
1971
The Steffensen inequality. Zbl 0201.38801
Bullen, P. S.
1970
The inequalities of Rado and Popoviciu. Zbl 0208.07604
Bullen, P. S.
1970
On some theorems of Popoviciu. Zbl 0187.31603
Bullen, P. S.
1969
An inequality due to Henrici. Zbl 0175.04903
Bullen, P. S.
1969
Some more inequalities involving the arithmetic and geometric means. Zbl 0152.24202
Bullen, P. S.
1967
On a theorem of Privaloff. Zbl 0148.36201
Bullen, P. S.
1967
Some inequalities for symmetric means. Zbl 0145.28001
Bullen, P. S.
1965
Symmetric means and matrix inequalities. Zbl 0096.24604
Bullen, Peter; Marcus, Marvin
1961
Properties of the coefficients of orthonormal sequences. Zbl 0109.04202
Bullen, P. S.
1961
Construction of primitives of generalized derivatives with applications to trigonometric series. Zbl 0099.27501
Bullen, P. S.
1961
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### Cited by 602 Authors

 36 Chu, Yuming 27 Pečarić, Josip 20 Alzer, Horst 16 Matkowski, Janusz 12 Qi, Feng 10 Kashuri, Artion 10 Liko, Rozana 10 Yang, Zhenhang 9 Beliakov, Gleb 9 Pasteczka, Paweł 8 Wang, Miaokun 7 Berrone, Lucio R. 6 Cerone, Pietro 6 Long, Boyong 6 Niezgoda, Marek 6 Qiu, Songliang 6 Wen, Jiajin 6 Wu, Shanhe 6 Xia, Weifeng 6 Yepes Nicolás, Jesús 5 Calvo, Tomasa 5 Dragomir, Sever Silvestru 5 Mesiar, Radko 5 Raïssouli, Mustapha 5 Wang, Gendi 4 Adeel, Muhammad 4 Guo, Bai-Ni 4 Hajja, Mowaffaq 4 Jiang, Yueping 4 Khan, Khuram Ali 4 Khan, Muhammad Adil 4 Konovalov, Victor N. 4 Liu, Xinwang 4 Matić, Marko 4 Páles, Zsolt 4 Pap, Endre 4 Pečaric, Đilda 4 Persson, Lars-Erik 4 Qiu, Yefang 4 Skvortsov, Valentin Anatol’evich 4 Štrboja, Mirjana 4 Zhang, Xiaohui 3 Abramovich, Shoshana 3 Abu-Saris, Raghib M. 3 Bullen, Peter S. 3 Daraby, Bayaz 3 Hernández Cifre, María A. 3 Høibakk, Ralph 3 Iglesias, David 3 Jarczyk, Justyna 3 Leviatan, Dany 3 Li, Yongmin 3 Liu, Wei 3 Lukkassen, Dag 3 Marichal, Jean-Luc 3 Pavić, Zlatko 3 Richards, Kendall C. 3 Sbérgamo, Gerardo E. 3 Song, Yingqing 3 Vukelić, Ana 3 Wang, Wanlan 3 Wilkin, Tim 3 Wu, Limin 3 Yager, Ronald R. 3 Ye, Guoju 3 Zhao, Tiehong 2 Angulo, Jesús 2 Beesack, Paul Richard 2 Bentkowska (Dudziak), Urszula 2 Boccuto, Antonio 2 Burić, Tomislav 2 Chen, Chaoping 2 Das, A. G. 2 Dujmovic, Jozo J. 2 Elezović, Neven 2 Furuichi, Shigeru 2 Gao, Chaobang 2 Gao, Peng 2 Gong, Weiming 2 Guan, Kaizhong 2 Guessab, Allal 2 Harmati, István Á. 2 Hong, Dug Hun 2 Horwitz, Alan L. 2 Jarczyk, Witold 2 Kim, Sejong 2 Kocic, Vlajko Lj. 2 Kóczy, László T. 2 Kohlmann, Peter 2 Kopotun, Kirill A. 2 Kurač, Zbyněk 2 Latif, Muhammad Amer 2 Maligranda, Lech 2 Mercer, Peter R. 2 Merkle, Milan J. 2 Mihailović, Biljana P. 2 Mitrinović, Dragoslav S. 2 Nagaraja, K. M. 2 Noor, Muhammad Aslam 2 Park, Choonkil ...and 502 more Authors
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### Cited in 173 Serials

 57 Journal of Mathematical Analysis and Applications 34 Journal of Inequalities and Applications 21 Aequationes Mathematicae 16 Fuzzy Sets and Systems 13 Abstract and Applied Analysis 12 Journal of Approximation Theory 11 Computers & Mathematics with Applications 11 Information Sciences 10 Applied Mathematics and Computation 7 Periodica Mathematica Hungarica 7 Acta Mathematica Hungarica 7 Journal of Function Spaces 6 Results in Mathematics 6 Linear Algebra and its Applications 6 Mathematical Inequalities & Applications 5 Bulletin of the Australian Mathematical Society 5 Mathematical Notes 4 Analysis Mathematica 4 Discrete Mathematics 4 Journal of Computational and Applied Mathematics 4 Monatshefte für Mathematik 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the American Mathematical Society 4 International Journal of Approximate Reasoning 4 Applied Mathematics Letters 4 Journal of Difference Equations and Applications 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Czechoslovak Mathematical Journal 3 Demonstratio Mathematica 3 Mathematica Slovaca 3 Transactions of the American Mathematical Society 3 Statistics & Probability Letters 3 Elemente der Mathematik 3 Integral Transforms and Special Functions 3 Journal of Applied Mathematics 3 Advances in Difference Equations 3 Journal of Mathematical Inequalities 3 The College Mathematics Journal 3 Open Mathematics 2 American Mathematical Monthly 2 International Journal of Control 2 International Journal of Mathematical Education in Science and Technology 2 Mathematische Semesterberichte 2 Physics Letters. A 2 Mathematics of Computation 2 Automatica 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Multivariate Analysis 2 Journal of Number Theory 2 Journal of Optimization Theory and Applications 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Social Choice and Welfare 2 Mathematical and Computer Modelling 2 SIAM Journal on Discrete Mathematics 2 Communications in Statistics. Theory and Methods 2 European Journal of Operational Research 2 International Journal of Computer Mathematics 2 The Journal of Analysis 2 Journal of Mathematical Sciences (New York) 2 Journal of Applied Analysis 2 Positivity 2 Kragujevac Journal of Mathematics 2 Journal of Machine Learning Research (JMLR) 2 Proyecciones 2 Tbilisi Mathematical Journal 2 Advances in Fuzzy Systems 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Palestine Journal of Mathematics 2 Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Linear and Multilinear Algebra 1 Mathematical Biosciences 1 Nonlinearity 1 Psychometrika 1 The Mathematical Intelligencer 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Computing 1 Fasciculi Mathematici 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of Applied Probability 1 Journal of Economic Theory 1 Journal of Mathematical Psychology 1 Journal of Soviet Mathematics 1 Mathematics of Operations Research 1 Numerical Functional Analysis and Optimization 1 Real Analysis Exchange 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Mathematical Social Sciences 1 Insurance Mathematics & Economics 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society ...and 73 more Serials
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### Cited in 48 Fields

 308 Real functions (26-XX) 48 Special functions (33-XX) 46 Difference and functional equations (39-XX) 30 Computer science (68-XX) 28 Approximations and expansions (41-XX) 25 Measure and integration (28-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Probability theory and stochastic processes (60-XX) 20 Statistics (62-XX) 17 Numerical analysis (65-XX) 16 Functional analysis (46-XX) 16 Convex and discrete geometry (52-XX) 15 Operator theory (47-XX) 14 Ordinary differential equations (34-XX) 13 Combinatorics (05-XX) 11 Information and communication theory, circuits (94-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Number theory (11-XX) 9 Geometry (51-XX) 9 Operations research, mathematical programming (90-XX) 7 Mathematical logic and foundations (03-XX) 7 Functions of a complex variable (30-XX) 7 Partial differential equations (35-XX) 7 Systems theory; control (93-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 5 Mathematics education (97-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Sequences, series, summability (40-XX) 3 Biology and other natural sciences (92-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)