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

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.

Original language	English
Article number	20220216
Journal	Demonstratio Mathematica
Volume	56
Issue number	1
DOIs	https://doi.org/10.1515/dema-2022-0216
State	Published - 1 Jan 2023

Bibliographical note

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

Funding

Funding information : This work received financial support from Pontificia Universidad Católica del Ecuador.

Keywords

Mittag-Leffler kernel
fractal sets
generalized Hermite-Hadamard inequality
generalized h, h-preinvex functions
local fractional integrals

Access to Document

10.1515/dema-2022-0216

Cite this

@article{6b0888a2610c46df8a6601bc7fbfaf0f,

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

abstract = "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.",

keywords = "Mittag-Leffler kernel, fractal sets, generalized Hermite-Hadamard inequality, generalized h, h-preinvex functions, local fractional integrals",

author = "Miguel Vivas-Cortez and Maria Bibi and Muhammad Muddassar and Sa'Ud Al-Sa'Di",

note = "Publisher Copyright: {\textcopyright} 2023 the author(s), published by De Gruyter.",

year = "2023",

month = jan,

day = "1",

doi = "10.1515/dema-2022-0216",

language = "English",

volume = "56",

journal = "Demonstratio Mathematica",

issn = "0420-1213",

publisher = "Walter de Gruyter GmbH",

number = "1",

}

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.

KW - Mittag-Leffler kernel

KW - fractal sets

KW - generalized Hermite-Hadamard inequality

KW - generalized h, h-preinvex functions

KW - local fractional integrals

UR - http://www.scopus.com/inward/record.url?scp=85161023816&partnerID=8YFLogxK

U2 - 10.1515/dema-2022-0216

DO - 10.1515/dema-2022-0216

M3 - Article

AN - SCOPUS:85161023816

SN - 0420-1213

VL - 56

JO - Demonstratio Mathematica

JF - Demonstratio Mathematica

IS - 1

M1 - 20220216

ER -

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

Abstract

Bibliographical note

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this