New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals

IF 1 Q3 MULTIDISCIPLINARY SCIENCES

gazi university journal of science Pub Date : 2022-08-23 DOI:10.35378/gujs.934699

Şenol Demir, S. Maden

引用次数: 0

Abstract

In the paper, we introduce the class of trigonometrically convex functions and using the Hölder, Hölder-İşcan, 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.

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基于经典积分的三角凸函数的新Ostrowski型不等式

本文引入了一类三角凸函数，并利用Hölder，Hölder-şcan，幂均值和改进的幂均值积分不等式，以及一个恒等式，为二阶导数为三角凸的函数建立了一些新的Ostrowski型不等式，这是H-凸函数的一个特例。文中还给出了一些特殊手段的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

gazi university journal of science MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

11.10%

发文量

期刊介绍： The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.