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Volume 7, Issue 2
Some Local Fractional Hermite-Hadamard-Type and Ostrowski-Type Inequalities for Exponentially s-Preconvex Functions with Generalized Mittag-Leffler Kernel

Huijie Shao & Run Xu

J. Nonl. Mod. Anal., 7 (2025), pp. 622-640.

Published online: 2025-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • AMS Subject Headings

26A33, 26D10, 33E12

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-622, author = {Shao , Huijie and Xu , Run}, title = {Some Local Fractional Hermite-Hadamard-Type and Ostrowski-Type Inequalities for Exponentially s-Preconvex Functions with Generalized Mittag-Leffler Kernel}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.622}, url = {http://global-sci.org/intro/article_detail/jnma/24018.html} }
TY - JOUR T1 - Some Local Fractional Hermite-Hadamard-Type and Ostrowski-Type Inequalities for Exponentially s-Preconvex Functions with Generalized Mittag-Leffler Kernel AU - Shao , Huijie AU - Xu , Run JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 622 EP - 640 PY - 2025 DA - 2025/04 SN - 7 DO - http://doi.org/10.12150/jnma.2025.622 UR - https://global-sci.org/intro/article_detail/jnma/24018.html KW - Local fractional integral, Mittag-Leffler kernel, exponentially s-preconvex functions, Hermite-Hadamard integral inequalities, Ostrowski integral inequalities AB -

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.

Shao , Huijie and Xu , Run. (2025). Some Local Fractional Hermite-Hadamard-Type and Ostrowski-Type Inequalities for Exponentially s-Preconvex Functions with Generalized Mittag-Leffler Kernel. Journal of Nonlinear Modeling and Analysis. 7 (2). 622-640. doi:10.12150/jnma.2025.622
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