Exact integral inequalities for convex functions

Tamás F. Móri

Type: Article

Publication Date: 2007-01-01

Citations: 1

DOI: https://doi.org/10.7153/jmi-01-11

Abstract

Pachpatte [2] presented linear inequalities involving certain integrals of convex functions defined on a finite closed interval.In the present note we explore the the whole set of possible values of those quantities, thus obtaining sharp inequalities that cannot be further improved.Our results are obtained by the application of the convexity method, a simple but powerful tool which is often used in probability theory for deriving moment-type inequalities.

Locations

Journal of Mathematical Inequalities - View - PDF

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Works That Cite This (1)

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+	SHARP INTEGRAL INEQUALITIES FOR PRODUCTS OF CONVEX FUNCTIONS	2007	O Csiszár Tamás F. Móri

Works Cited by This (1)

Action	Title	Year	Authors
+	The convexity method of proving moment-type inequalities	2003	Villő Csiszár