Better Results for Trigonometrically Convex Functions via Hölder-İşcan and Improved Power-Mean Inequalities

Year 2020, , 38 - 43, 25.03.2020

Mahir Kadakal

https://doi.org/10.32323/ujma.571525

Cited By: 4

Abstract

In this paper, using Hölder-İşcan and improved power-mean integral inequalities and together with an integral identity, we obtain Hadamard type inequalities for functions whose second derivatives in absolute value at certain power are trigonometrically convex functions. In addition, we prove that our results give better approach than previous results.

Keywords

Convex function, trigonometrically convex function, Hölder-İşcan integral inequality, improved power-mean integral inequality

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