Hermite-Hadamard type inequalities with applications

DOI10.1515/fascmath-2017-0017zbMath1386.26029OpenAlexW2783877368MaRDI QIDQ1691461

Peng Zhang

Publication date: 16 January 2018

Published in: Fasciculi Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fascmath-2017-0017

zbMATH Keywords

convex functionsmeansHermite-Hadamard inequalitytrapezoidal formula\(f\)-divergence

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (15)

Fractional inclusions of the Hermite-Hadamard type for \(m\)-polynomial convex interval-valued functions ⋮ New generalized mean square stochastic fractional operators with applications ⋮ New generalized conformable fractional impulsive delay differential equations with some illustrative examples ⋮ \(k\)-fractional integral inequalities of Hadamard type for exponentially \((s, m)\)-convex functions ⋮ Fractional inequalities of the Hermite-Hadamard type for \(m\)-polynomial convex and harmonically convex functions ⋮ Set Inclusions of the Hermite-Hadamard Type for $m$ Polynomial Harmonically Convex Interval Valued Functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Hadamard-type \(k\)-fractional integral inequalities for exponentially \((\alpha,h-m)\)-convex functions ⋮ Unnamed Item ⋮ Some new refinement of Hermite-Hadamard type inequalities and their applications ⋮ Quantum Hermite-Hadamard inequality by means of a Green function ⋮ Caputo-fabrizio fractional Hermite-Hadamard type and associated results for strongly convex functions ⋮ Strongly \((\eta ,\omega )\)-convex functions with nonnegative modulus ⋮ K-fractional integral inequalities of Hadamard type for (h − m)−convex functions

Cites Work

• More about Hermite-Hadamard inequalities, Cauchy's means, and superquadracity
• Fejer and Hermite-Hadamard type inequalities for superquadratic functions
• Hadamard-type inequalities for s-convex functions
• Improvement and further generalization of inequalities for differentiable mappings and applications
• Two mappings in connection to Hadamard's inequalities
• An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
• Two new theorems on mappings uniformly continuous and convex with applications to quadrature rules and means
• A theorem on mappings with bounded derivatives with applications to quadrature rules and means.
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• On new inequalities of Hermite-Hadamard-Fejér type for convex functions via fractional integrals
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• An application of Hayashi's inequality for differentiable functions
• On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
• Inequalities for differentiable mappings with application to special means and quadrature formulæ
• Divergence measures based on the Shannon entropy
• On the convexity of some divergence measures based on entropy functions
• On Information and Sufficiency
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hermite-Hadamard type inequalities with applications