Hadamard and Fejér-Hadamard inequalities for further generalized fractional integrals involving Mittag-Leffler functions
type: Item
instance of: scholarly article
title: Hadamard and Fejér-Hadamard inequalities for further generalized fractional integrals involving Mittag-Leffler functions
zbMATH Open document ID: 1477.26013
DOI: 10.1155/2021/5589405
author: M. Yussouf
author: Ghulam Farid
author: Khuram Ali Khan
author: Chahn Yong Jung
published in: Journal of Mathematics
publication date: 2021-06-22T00:00:00Z
review text: Summary: In this paper, generalized versions of Hadamard and Fejér-Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The results of this paper are connected with various published fractional integral inequalities.
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 33E12
zbMATH DE Number: 7362004
Wikidata QID: Q114069960
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5589405
OpenAlex ID: W3138655634
cites work: A further extension of Mittag-Leffler function
cites work: Q5014979
cites work: The extended Mittag-Leffler function via fractional calculus
cites work: Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
cites work: Q5625726
cites work: Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
cites work: Q3705647
cites work: Hermite-Hadamard type inequalities for harmonically convex functions
cites work: Hermite-Hadamard, Hermite-Hadamard-Fejér, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals
cites work: Q4821403
cites work: Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
cites work: Fejér and Hermite-Hadamard type inequalities for harmonically convex functions
cites work: Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
cites work: A generalized Fejér-Hadamard inequality for harmonically convex functions via generalized fractional integral operator and related results
cites work: Further generalizations of Hadamard and Fejér-Hadamard fractional inequalities and error estimates
cites work: Hadamard and Fejér-Hadamard type inequalities for harmonically convex functions via generalized fractional integrals
cites work: New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions
cites work: Q3385516
description: scientific article; zbMATH DE number 7362004