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On Knopp's Inequality for Convex Functions

Published online by Cambridge University Press:  20 November 2018

J. E. Pečarić  and
P. R. Beesack
J. E. Pečarić
Affiliation:
University Of Belgrade Bulevar Revolucije 73 11000 Belgrade, Yugoslavia
P. R. Beesack
Affiliation:
Carleton university ottawa, ont., canada
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Abstract

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Knopp's inequality for convex functions ϕ on an interval I = [m,M] states that

for an explicit functional H, and all integrable g: [0, 1] → I. In this paper we give results of this kind in which the integral operator, ∫, is replaced by a general isotonic linear functional.

Keywords

Primary 26D15Secondary 26D2047B38

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 3 , 01 September 1987 , pp. 267 - 272
Copyright
Copyright © Canadian Mathematical Society 1987

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