On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions

By Erhan Set, M. Özdemir, Sever Silvestru Dragomir. 2010

94 citations recorded by the source corpus.

We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well. The analysis used in the proofs is fairly elementary and based on the use of the Minkowski, Hölder, and Young inequalities.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/2acf2bff76d0bd2b50ba999d439f78ffb46b29bf

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In Applied Mathematics

Citations in the corpus

On Hadamard-Type Inequalities Involving Several Kinds of Convexity (2010, background): “For new proofs, note worthy extension, generalizations and numerous applications on this inequality, see ([1], [4], [5], [6], [9], [12]) where further references are given.”
On Minkowski and Hermite-Hadamard integral inequalities via fractional integration (2010, unknown): “Our results have some relationships with [3, 12].”
Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities (2013, background): “Hadamard’s inequality for convex functions has received renewed attention in recent years and a remarkable variety of refinements and generalizations have been found; see, for example, [3–6,2,7–11,1,12,13] and the references cited therein.”