Jensen-type inequalities for \(m\)-convex functions
type: Item
instance of: scholarly article
title: Jensen-type inequalities for \(m\)-convex functions
author: Paul Bosch
author: Jose M. Sigarreta
author: Yamilet Quintana
author: José M. Rodríguez
published in: Open Mathematics
publication date: 2022-10-18T00:00:00Z
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 7602811
zbMATH Keywords: Jensen-type inequalities
zbMATH Keywords: convex functions
zbMATH Keywords: \(m\)-convex functions
zbMATH Keywords: fractional derivatives and integrals
zbMATH Keywords: fractional integral inequalities
MaRDI profile type: Publication
full work available at URL: math-2022-0061
OpenAlex ID: W4294837982
cites work: Hermite-Hadamard-type inequalities for conformable integrals
cites work: On Minkowski and Hermite-Hadamard integral inequalities via fractional integration
cites work: Q4843518
cites work: Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
cites work: Fractional Calculus: Integral and Differential Equations of Fractional Order
cites work: Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
cites work: A New Approach to Generalized Fractional Derivatives
cites work: Q3141895
cites work: Q5433845
cites work: Q4821460
cites work: Analytic Inequalities
cites work: Q5287501
cites work: The Minkowski inequality involving generalized \(k\)-fractional conformable integral
cites work: Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric \(k\)-function
cites work: The most important inequalities of $m$-convex functions
cites work: Convex functions, partial orderings, and statistical applications
cites work: Certain inequalities via generalized proportional Hadamard fractional integral operators
cites work: On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals
cites work: Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
cites work: On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey space
cites work: On generalized Grüss type inequalities for \(k\)-fractional integrals
cites work: A comparative study of the stability of some fractional-order cobweb economic models
cites work: Q3705647
cites work: The hierarchy of convexity and some classic inequalities
cites work: AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES
DOI: 10.1515/MATH-2022-0061
description: scientific article; zbMATH DE number 7602811