On local fractional integral inequalities via generalized (h 1, h 2)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Miguel Vivas-Cortez; Maria Bibi; Muhammad Muddassar; Sa'Ud Al-Sa'Di

doi:10.1515/dema-2022-0216

On local fractional integral inequalities via generalized (h 1, h 2)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Miguel Vivas-Cortez, Maria Bibi, Muhammad Muddassar, Sa'Ud Al-Sa'Di

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

9 Citas (Scopus)

Resumen

Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities. In this article, we analyze Hermite-Hadamard-type local fractional integral inequalities via generalized (h 1, h 2)-preinvex function comprising local fractional integral operators and Mittag-Leffler kernel. In addition, two examples are discussed to ensure that the derived consequences are correct. As an application, we construct an inequality to establish central moments of a random variable.

Idioma original	Inglés
Número de artículo	20220216
Publicación	Demonstratio Mathematica
Volumen	56
N.º	1
DOI	https://doi.org/10.1515/dema-2022-0216
Estado	Publicada - 1 ene. 2023

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Publisher Copyright:
© 2023 the author(s), published by De Gruyter.

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10.1515/dema-2022-0216

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RESULTADOS CUALITATIVOS DE ECUACIONES DIFERENCIALES FRACCIONARIAS LOCALES Y DESIGUALDADES INTEGRALES
Delgado Noboa, A. C. (Investigador principal), RANGEL OLIVEROS, Y. C. (Investigador principal), NÁPOLES VALDÉS, J. (Investigador Externo), VELASCO VELASCO, J. (Investigador Externo) & Vivas Cortez, M. J. (Director)
15/03/22 → 16/03/24
Proyecto: Investigación

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On local fractional integral inequalities via generalized (h 1, h 2)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel. / Vivas-Cortez, Miguel; Bibi, Maria; Muddassar, Muhammad et al.
En: Demonstratio Mathematica, Vol. 56, N.º 1, 20220216, 01.01.2023.

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

TY - JOUR

T1 - On local fractional integral inequalities via generalized (h 1, h 2)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

AU - Vivas-Cortez, Miguel

AU - Bibi, Maria

AU - Muddassar, Muhammad

AU - Al-Sa'Di, Sa'Ud

PY - 2023/1/1

Y1 - 2023/1/1

N2 - Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities. In this article, we analyze Hermite-Hadamard-type local fractional integral inequalities via generalized (h 1, h 2)-preinvex function comprising local fractional integral operators and Mittag-Leffler kernel. In addition, two examples are discussed to ensure that the derived consequences are correct. As an application, we construct an inequality to establish central moments of a random variable.

AB - Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities. In this article, we analyze Hermite-Hadamard-type local fractional integral inequalities via generalized (h 1, h 2)-preinvex function comprising local fractional integral operators and Mittag-Leffler kernel. In addition, two examples are discussed to ensure that the derived consequences are correct. As an application, we construct an inequality to establish central moments of a random variable.

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On local fractional integral inequalities via generalized (h 1, h 2)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

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