Generalized k-Fractional Integral Operators Associated with Pólya-Szegö and Chebyshev Types Inequalities-Reference-Cited by-同舟云学术

Generalized k-Fractional Integral Operators Associated with Pólya-Szegö and Chebyshev Types Inequalities

Published:2022-02-06 Issue:2 Volume:6 Page:90
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Zhang Zhiqiang^ORCID,Farid Ghulam,Mehmood Sajid,Nonlaopon Kamsing^ORCID,Yan Tao^ORCID

Abstract

Inequalities related to derivatives and integrals are generalized and extended via fractional order integral and derivative operators. The present paper aims to define an operator containing Mittag-Leffler function in its kernel that leads to deduce many already existing well-known operators. By using this generalized operator, some well-known inequalities are studied. The results of this paper reproduce Chebyshev and Pólya-Szegö type inequalities for Riemann-Liouville and many other fractional integral operators.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/6/2/90/pdf

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