Chebyshev type inequality containing a fractional integral operator with a multi-index Mittag-Leffler function as a kernel

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De Gruyter Open Ltd

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info:eu-repo/semantics/openAccess

Abstract

In this paper, we derive certain Chebyshev type integral inequalities connected with a fractional integral operator in terms of the generalized Mittag-Leffler multi-index function as a kernel. Our key findings are general in nature and, as a special case, can give rise to integral inequalities of the Chebyshev form involving fractional integral operators present in the literature. © 2021 Walter de Gruyter GmbH, Berlin/Boston 2021.

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Keywords

Chebyshev integral inequality, fractional integral operators, Mittag-Leffler function, multi-index Mittag-Leffler functions

Journal or Series

Analysis (Germany)

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Volume

41

Issue

1

Citation

Jangid, K., Purohit, S. D., Nisar, K. S., & Araci, S. (February 01, 2021). Chebyshev type inequality containing a fractional integral operator with a multi-index Mittag-Leffler function as a kernel. Analysis, 41, 1, 61-67.

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