SOME NEW INTEGRAL INEQUALITIES VIA RIEMANN-LIOUVILLE INTEGRAL OPERATORS

被引：0

作者：

Ekinci, Alper ^{[1
]}

Ozdemir, M. Emin ^{[2
]}

机构：

[1] Bandirma Vocat High Sch, Bandirma Onyedi Eylul Univ, Bandirma, Turkey

[2] Uludag Univ, Fac Educ, Dept Math Educ, Bursa, Turkey

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2019年 / 18卷 / 03期

关键词：

Riemann-Liouville Fractional Integrals; Convexity; Hermite-Hadamard Inequality; Holder's Inequality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to obtain new inequalities for the class of functions whose absolute values of first derivatives are convex on [a, b]. First we establish obtain a new integral identity by separating [a, b] to s equal subintervals. Then we some Hermite-Hadamard type inequalities involving intermediate values of vertical bar f'vertical bar by using Riemann-Liouville fractional operator. Also, we have given some results for special values of s and alpha.

引用

页码：288 / 295

页数：8

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