Some Simpson's Riemann-Liouville Fractional Integral Inequalities with Applications to Special Functions

被引：16

作者：

Nasir, Jamshed ^{[1
]}

Qaisar, Shahid ^{[2
]}

Butt, Saad Ihsan ^{[1
]}

Khan, Khuram Ali ^{[3
]}

Mabela, Rostin Matendo ^{[4
]}

机构：

[1] COMSATS Univ Islamabad, Lahore Campus, Islamabad, Pakistan

[2] COMSATS Univ Islamabad, Sahiwal Campus, Islamabad, Pakistan

[3] Univ Sargodha, Dept Math, Sargodha, Pakistan

[4] Univ Kinshasa, Fac Sci, Dept Maths & Comp Sci, Kinshasa, DEM REP CONGO

来源：

JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷

关键词：

HERMITE-HADAMARD INEQUALITIES; CONVEX;

D O I：

10.1155/2022/2113742

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the Riemann-Liouville fractional integral, a new form of generalized Simpson-type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expect that present outcomes are the generalization of already obtained results. Applications to beta, q-digamma, and Bessel functions are also provided.

引用

页数：12

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