New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals

Year 2023, Volume: 36 Issue: 3, 1311 - 1324, 01.09.2023

Şenol Demir , Selahattin Maden

https://doi.org/10.35378/gujs.934699

Abstract

In the paper, we introduce the class of trigonometrically convex functions and using the Hölder, Hölder-Işcan, Power-mean and Improved power-mean integral inequality together with an identity we establish some new inequalities of Ostrowski-type for functions whose second derivatives are trigonometrically convex which is a special case of h-convex functions. Some applications for special means are also given.

Keywords

Ostrowski inequality, Hölder-İşcan, Improved power-mean, Convex trigometrically

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