Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives
type: Item
instance of: scholarly article
title: Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives
zbMATH Open document ID: 1477.26032
DOI: 10.1155/2021/6691151
author: Yanliang Dong
author: Muhammad Zeb
author: Ghulam Farid
author: Sidra Bibi
published in: Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
review text: Summary: In this paper, we present two versions of the Hadamard inequality for \((\alpha, m)\) convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and \(m\)-convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 7393950
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6691151
OpenAlex ID: W3119880172
cites work: Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals
cites work: On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals via two kinds of convexity
cites work: Q5379731
cites work: On Hadamard-type inequalities for differentiable functions via Caputo k-fractional derivatives
cites work: Q2959561
cites work: A generalized Fejér-Hadamard inequality for harmonically convex functions via generalized fractional integral operator and related results
cites work: Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions
cites work: Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
cites work: Q5350083
cites work: Q5699297
cites work: Q5557320
cites work: Q4978138
cites work: Remarks on strongly convex functions
cites work: On Strongly Convex Functions and Related Classes of Functions
cites work: Characterizations of inner product spaces by strongly convex functions
cites work: Strong convexity of sets and functions
cites work: Hermite-Hadamard-type inequalities via \((\alpha ,m)\)-convexity
cites work: Ostrowski's Type Inequalities for (α, m)-Convex Function
cites work: Q3099578
cites work: Hermite-Hadamard type inequalities for the \(m\)- and \((\alpha,m)\)-geometrically convex functions
cites work: Hermite--Hadamard type inequalities for the product of (α,m )-convex functions
cites work: Q4629040
cites work: Q3385553
description: scientific article; zbMATH DE number 7393950