A Convexity Concept with Respect to a Pair of Functions

DOI10.1080/01630563.2022.2050753zbMath1501.26009OpenAlexW4220779070MaRDI QIDQ5085202

Bessem Samet

Publication date: 27 June 2022

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2022.2050753

zbMATH Keywords

convex functionspsi functionHermite-Hadamard-type inequalitiesSimpson-type inequalitiesJensen-type inequalities\((\mathbf{v},\mathbf{w})\)-convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane ⋮ On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains ⋮ Fractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functions ⋮ A new version of \((p,q)\)-Hermite-Hadamard's midpoint and trapezoidal inequalities via special operators in \((p,q)\)-calculus

Cites Work

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• On an implicit convexity concept and some integral inequalities
• On a Jensen-Mercer operator inequality
• Hermite-Hadamard's type inequalities for operator convex functions
• Handbook of generalized convexity and generalized monotonicity
• On \(h\)-convexity
• Convexity according to a pair of quasi-arithmetic means and inequalities
• B⁻¹-Convex Sets and B⁻¹-Measurable Maps
• On Hermite-Hadamard type inequalities via fractional integrals of a function with respect to another function
• JENSEN'S OPERATOR INEQUALITY
• Some properties of the gamma and psi functions, with applications
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Some new scales of refined Jensen and Hardy type inequalities
• Approximately Convex Functions
• On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming

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