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
收藏
页码：1311 / 1324
页数：14
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