Peter Bullen

Position: Professor Emeritus.
Background: M.Sc.,University of Natal(1948);
Ph.D.,University of Cambridge(1955).
Office : Mathematics Annex 1208.
Office phone: 604 822 5458; Fax: 604 822 6074.
E-mail: bullen@math.ubc.ca.
Home phone:604 264 9022; Fax: 604 899 4204.

Research Interests

Real analysis: non-absolute integrals, inequalities.

Work in Progress

A revision of the book "Means and their Inequalities" is being prepared as well as a companion to the "Dictionary of Inequalities", a "Dictionary of Calculus".

Selected Publications

Papers

with S.N.Mukhopadhyay:"The Peano derivative and the M_2 property of Zahorski",Indian J. Math. 28(1986), 219-228.
with D.N.Sarkhel:"On the solution of ({dy\over dx})_{ap}= f(x,y)", J.Math.Analysis Appl." 126(1987),365-376.
"The Burkill approximately continuous integral I",J. Austral.Math.Soc. 35(1983), 236-253.
"A simple proof of the integration by parts theorem for the Perron integral", Canad. Math.Bull. 28(1985), 195-199.
with S.N.Mukhopadhyay:"The integrability of Riemann summable trigonometric series", Canad.Math.Bull. 33(1990), 273-281.
with R.V\'yborn\'y:"Some applications of a theorem of Marcinkiewicz", Canad.Math.Bull. 34(1991), 165-174.

Books

"Means and Their Inequalities", with D.S. Mitrinovi\'c and P.M.Vasi\'c; Mathematics and Its Applications (East European Series); D.Reidel Publishing Company, Dordrecht, The Netherlands; 1988; ISBN 90-277-2629-9.
"The Theory of the Denjoy Integral and Some Applications", translation from the Russian of V.G.\v Celidze and A.G.D\v zar\v se\u i\v sili; Series in Real Analysis Volume 3; World Scientific Publishing Co. Pte.Ltd., Singapore; 1989; ISBN 981-02-002-8. The original Russian edition:Tbilisi University Press, Tbilisi, 1978.
"New Integrals, Proceedings of the Henstock Conference, Coleraine, Northern Ireland, 1988", editor with P.Y.Lee, J.L. Mawhin, P.Muldowney, W.F.Pfeffer; Lecture Notes in Mathematics #1419 Springer-Verlag, Berlin-Heidelberg, 1990; ISBN 3-540-52322-7.
"A Dictionary of Inequalities", Pitman Monographs and Surveys in Pure and Applied Mathematics #97, Addison Wesley Longman Ltd.,U.K.;ISBN 0-582-32748-2.

A website containing additions and corrections for this last entry has been set up by the Research Group on Mathematical Inequalities and Applications: http://rgmia.vu.edu.au/monographs/bullen.html.

Memberships etc.

Canadian Mathematical Society:http://www.camel.math.ca/.
American Mathematical Society:http://www.ams.org/.
Mathematical Association of America:http://www.maa.org.
Research Group of Mathematical Inequalities and Applications:http://rgmia.vu.edu.au.

Associate editor of the Real Analysis Exchange:http://www.stolaf.edu/people/analysis; http://msupress.msu.edu/aaa/project
Editor of the Journal of Inequalities in Pure and Applied Mathematics:http://jipam.vu.edu.au.
Editor of the journal Mathematical Inequalities and Applications;mia@fer.hr

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