Certain Grüss-type inequalities via tempered fractional integrals concerning another function-Reference-Cited by-同舟云学术

Certain Grüss-type inequalities via tempered fractional integrals concerning another function

Published:2020-06-01 Issue:1 Volume:2020 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Rahman Gauhar,Nisar Kottakkaran Sooppy,Rashid Saima,Abdeljawad Thabet^ORCID

Abstract

AbstractWe study a generalized left sided tempered fractional (GTF)-integral concerning another function Ψ in the kernel. Then we investigate several kinds of inequalities such as Grüss-type and certain other related inequalities by utilizing the GTF-integral. Additionally, we present various special cases of the main result. By utilizing the connection between GTF-integral and Riemann–Liouville integral concerning another function Ψ in the kernel, certain distinct particular cases of the main result are also presented. Furthermore, certain other inequalities can be formed by applying various kinds of conditions on the function Ψ.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-020-02420-x.pdf

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