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Some Local Fractional Hermite-Hadamard-Type and Ostrowski-Type Inequalities for Exponentially s-Preconvex Functions with Generalized Mittag-Leffler Kernel

Year:    2025

Author:    Huijie Shao, Run Xu

Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 622–640

Abstract

In this paper, we introduced the concepts of local fractional integral and generalized Mittag-Leffler kernel. Based on these, we establish Hermite-Hadamard integral inequalities and Ostrowski integral inequalities via exponentially s-preconvex functions and s-preconvex functions with generalized Mittag-Leffler kernel.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2025.622

Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 622–640

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Local fractional integral Mittag-Leffler kernel exponentially s-preconvex functions Hermite-Hadamard integral inequalities Ostrowski integral inequalities

Author Details

Huijie Shao

Run Xu