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
收藏
页码：288 / 295
页数：8
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