Inequalities for unified integral operators via strongly \((\alpha ,h\text{-}m)\)-convexity
type: Item
instance of: scholarly article
title: Inequalities for unified integral operators via strongly \((\alpha ,h\text{-}m)\)-convexity
zbMATH Open document ID: 1479.26012
DOI: 10.1155/2021/6675826
author: Zhongyi Zhang
author: Ghulam Farid
author: Kahkashan Mahreen
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: The authors introduce a new definition of strongly \((\alpha, h\text{-}m)\)-convex function and use it to derive and prove the unified integral operators involving different kinds of convex functions. The results obtained yield refinements and generalizations of some fractional integral inequalities in the literature.
reviewed by: James A. Oguntuase
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 7385307
zbMATH Keywords: fractional integral inequalities
zbMATH Keywords: strongly \((\alpha, h\text{-}m)\)-convex function
zbMATH Keywords: generalized fractional integral operators
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6675826
OpenAlex ID: W3168937777
cites work: Hermite-Hadamard-type inequalities for functions whose derivatives are \(\eta\)-convex via fractional integrals
cites work: Generalized fractional integral inequalities for exponentially \((s,m)\)-convex functions
cites work: On \(h\)-convexity
cites work: Abstract generalized fractional Landau inequalities over $\mathbb{R}$
cites work: General Multivariate Iyengar Type Inequalities
cites work: Inequalities for Synchronous Functions and Applications
cites work: Ostrowski's Type Inequalities for the Complex Integral on Paths
cites work: A further extension of Mittag-Leffler function
cites work: Hermite-Hadamard- and Jensen-type inequalities for interval \((h_1,h_2)\) nonconvex function
cites work: Generalized \(k\)-fractional integral inequalities associated with \((\alpha ,m)\)-convex functions
cites work: Q5699297
cites work: Mittag-Leffler functions and their applications
cites work: Q5625726
cites work: On a new class of fractional operators
cites work: Generalized conformable fractional operators
cites work: \(k\)-fractional integrals and application
cites work: The extended Mittag-Leffler function via fractional calculus
cites work: Q5014979
cites work: \((k, s)\)-Riemann-Liouville fractional integral and applications
cites work: Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
cites work: Refinements of some integral inequalities for unified integral operators
cites work: Some remarks on \((s,m)\)-convexity in the second sense
cites work: Q5557320
cites work: Bounds of a unified integral operator for \((s,m)\)-convex functions and their consequences
cites work: Inequalities for a unified integral operator via \((\alpha,m)\)-convex functions
cites work: Estimations of Riemann–Liouville k-fractional integrals via convex functions
cites work: Estimations of fractional integral operators for convex functions and related results
cites work: Bounds of Riemann-Liouville fractional integral operators
cites work: Some Riemann-Liouville fractional integral inequalities for convex functions
cites work: Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
cites work: Derivation of bounds of several kinds of operators via \((s,m)\)-convexity
cites work: Boundedness of fractional integral operators containing Mittag-Leffler functions via \((s,m)\)-convexity
cites work: Study of fractional integral inequalities involving Mittag-Leffler functions via convexity
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description: scientific article; zbMATH DE number 7385307