Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals
type: Item
instance of: scholarly article
title: Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals
zbMATH Open document ID: 1400.26040
DOI: 10.1155/2018/5357463
author: Muhammad Adil Khan
author: Yousaf Khurshid
author: Tingsong Du
author: Yu-Ming Chu
published in: Journal of Function Spaces
publication date: 2018-09-06T00:00:00Z
review text: Summary: We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 6933355
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5357463
OpenAlex ID: W2886319267
cites work: New inequalities of Hermite-Hadamard type for convex functions with applications
cites work: Q2966661
cites work: Properties and integral inequalities of Hadamard-Simpson type for the generalized \((s,m)\)-preinvex functions
cites work: A generalization of Simpson's inequality via differentiable mapping using extended \((s,m)\)-convex functions
cites work: On rational bounds for the gamma function
cites work: A monotonicity property involving the generalized elliptic integral of the first kind
cites work: Some new inequalities of Hermite-Hadamard type for \(s\)-convex functions with applications
cites work: Inequalities and infinite product formula for Ramanujan generalized modular equation function
cites work: Landen inequalities for a class of hypergeometric functions with applications
cites work: On approximating the error function
cites work: Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
cites work: Hermite-Hadamard type fractional integral inequalities for MT$_{(m,\varphi)}$-preinvex functions
cites work: Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives
cites work: Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
cites work: A new definition of fractional derivative
cites work: On conformable fractional calculus
cites work: Fractional Newton mechanics with conformable fractional derivative
cites work: Inequalities for \(\alpha\)-fractional differentiable functions
cites work: A generalized Lyapunov-type inequality in the frame of conformable derivatives
cites work: New inequalities of Opial type for conformable fractional integrals
cites work: Fundamental results of conformable Sturm-Liouville eigenvalue problems
cites work: Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
cites work: Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives
cites work: Q2957732
cites work: Hermite-Hadamard type inequalities for conformable fractional integrals
cites work: Inequalities for differentiable mappings with application to special means and quadrature formulæ
cites work: Q4441514
cites work: Optimal combinations bounds of root-square and arithmetic means for Toader mean
cites work: Optimal Lehmer mean bounds for the Toader mean
cites work: Asymptotical formulas for Gaussian and generalized hypergeometric functions
cites work: On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
cites work: Means in mathematical analysis. Bivariate means
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description: scientific article; zbMATH DE number 6933355