Functional and Operator Variants of Jensen's, Chord's, and Mercer's Inequality

Zlatko Pavia

doi:10.24297/jam.v3i2.2453

Functional and Operator Variants of Jensen's, Chord's, and Mercer's Inequality

Authors

Zlatko Pavia Slavonski Brod, University of Osijek, Trg Ivane Brlic Mazuranic 2, 35000 Slavonski Brod, Croatia

DOI:

https://doi.org/10.24297/jam.v3i2.2453

Keywords:

convex combination, convex function, Jensen's inequality, functional convex combination, operator convex combination.

Abstract

The paper examines functional and operator variants of Jensen's, chord's, and Mercer's inequality with a convex function on the interval of real numbers. In this research we relied on general functional and operator forms of Jensen's inequality. Among others, corresponding means are also observed. The inequalities for operators are observed without operator convexity.

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Author Biography

Zlatko Pavia, Slavonski Brod, University of Osijek, Trg Ivane Brlic Mazuranic 2, 35000 Slavonski Brod, Croatia

Engineering Faculty

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Published

2013-10-21

How to Cite

Pavia, Z. (2013). Functional and Operator Variants of Jensen’s, Chord’s, and Mercer’s Inequality. JOURNAL OF ADVANCES IN MATHEMATICS, 3(2), 168–178. https://doi.org/10.24297/jam.v3i2.2453