New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals

被引：0

作者：

Demir, Senol ^{[1
]}

Maden, Selahattin ^{[2
]}

机构：

[1] Karadeniz Tech Univ, Abdullah Kanca Vocat Sch, TR-61530 Trabzon, Turkiye

[2] Ordu Univ, Dept Math, TR-52200 Ordu, Turkiye

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2023年 / 36卷 / 03期

关键词：

Convex trigometrically; Ostrowski inequality; Holder-Iscan; Improved power-mean; S-CONVEX; DERIVATIVES;

D O I：

10.35378/gujs.934699

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the paper, we introduce the class of trigonometrically convex functions and using the Holder, Holder-Iscan, 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.

引用

页码：1311 / 1324

页数：14

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