BOUNDS FOR GENERALIZED FRACTIONAL INTEGRAL OPERATORS OF GENERALIZED STRONGLY CONVEX FUNCTIONS VIA MITTAG-LEFFLER FUNCTIONS

In this paper, we investigate bounds of the fractional integral operators containing the unified Mittag-Leffler function in their kernels. These bounds are given by applying a generalized class of functions called strongly exponentially [Formula: see text]-convex functions, which give refinements of various types of convexities. Utilized integral operators (2) and (3) unify a lot of well known fractional integral operators. Therefore, the results of this paper contain refinements as well as generalizations of many well-known fractional integral inequalities, which have been published in different articles in recent past.

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Publication Details

Journal
Fractals
Published
2025-06-19
DOI
https://doi.org/10.1142/s0218348x25402005
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

BOUNDS FOR GENERALIZED FRACTIONAL INTEGRAL OPERATORS OF GENERALIZED STRONGLY CONVEX FUNCTIONS VIA MITTAG-LEFFLER FUNCTIONS

Hafsa Yasmeen, Ghulam Farid, Ferdous M. O. Tawfiq, Yonghong Liu
Fractals
Mathematical Inequalities and Applications
article

BOUNDS FOR GENERALIZED FRACTIONAL INTEGRAL OPERATORS OF GENERALIZED STRONGLY CONVEX FUNCTIONS VIA MITTAG-LEFFLER FUNCTIONS

Hafsa Yasmeen, Ghulam Farid, Ferdous M. O. Tawfiq, Yonghong Liu
article en

Abstract

In this paper, we investigate bounds of the fractional integral operators containing the unified Mittag-Leffler function in their kernels. These bounds are given by applying a generalized class of functions called strongly exponentially [Formula: see text]-convex functions, which give refinements of various types of convexities. Utilized integral operators (2) and (3) unify a lot of well known fractional integral operators. Therefore, the results of this paper contain refinements as well as generalizations of many well-known fractional integral inequalities, which have been published in different articles in recent past.

Fractals
COMSATS University Islamabad (PK), King Saud University (SA), Chengdu University (CN), Chung-Ang University (KR)
Openalex Percentile: Top 79%
Mathematical Inequalities and Applications
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