Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions.

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-05-18 DOI:10.1186/s13660-018-1701-3

Shin Min Kang, Ghulam Farid, Waqas Nazeer, Bushra Tariq

引用次数: 0

Abstract

In this paper we prove the Hadamard and the Fejér-Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended generalized Mittag-Leffler function includes many known special functions. We have several such inequalities corresponding to special cases of the extended generalized Mittag-Leffler function. Also there we note the known results that can be obtained.

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涉及特殊函数的扩展广义分式积分的哈达玛德和费耶尔-哈达玛德不等式。

本文证明了涉及扩展广义米塔格-勒弗勒函数的扩展广义分数积分算子的哈达玛不等式和费耶尔-哈达玛不等式。扩展广义 Mittag-Leffler 函数包括许多已知的特殊函数。我们有几个与扩展广义 Mittag-Leffler 函数的特殊情况相对应的不等式。此外，我们还指出了可以获得的已知结果。

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

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.