与几何-算术凸函数相关的fej型积分不等式及其应用

IF 0.3 Q4 MATHEMATICS

Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI:10.12697/ACUTM.2019.23.05

S. Dragomir, M. Latif, E. Momoniat

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引用次数: 1

摘要

建立了一个包含几何对称函数和可微函数的恒等式。利用Hölder积分不等式和几何-算术凸性的概念，结合几何-算术凸函数的Hermite-Hadamard型不等式的左部，给出了一些新的fej型积分不等式。给出了我们的结果在正实数的特殊均值上的应用。

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Fejér type integral inequalities related with geometrically-arithmetically convex functions with applications

A new identity involving a geometrically symmetric function and a differentiable function is established. Some new Fejér type integral inequalities, connected with the left part of Hermite–Hadamard type inequalities for geometrically-arithmetically convex functions, are presented by using the Hölder integral inequality and the notion of geometrically-arithmetically convexity. Applications of our results to special means of positive real numbers are given.

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来源期刊

Acta et Commentationes Universitatis Tartuensis de Mathematica MATHEMATICS-

CiteScore

0.60

自引率

33.30%

发文量