Hadamard integral inequality for the class of semi-harmonically convex functions

DOI10.1142/S1793557122500206zbMath1496.28017OpenAlexW3131173735MaRDI QIDQ5064363

Hamid Vosoughian

Publication date: 15 March 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122500206

zbMATH Keywords

convex functionfuzzy measureSugeno fuzzy integralharmonically convex functionharmonically \(( \gamma-\eta )\)-convex functionHermit-Hadamard inequalitysemi-harmonically \(( \gamma-\eta )\)-convex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)

Cites Work

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• The Sugeno fuzzy integral of log-convex functions
• Some properties of geodesic semi-\(E\)-convex functions
• The fuzzy integral
• Nonlinear integrals and Hadamard-type inequalities
• Jensen-type inequalities for Sugeno integral
• A Hadamard-type inequality for fuzzy integrals based on \(r\)-convex functions
• Hadamard Integral Inequality for the Class of Harmonically (γ, η)-Convex Functions
• Generalizations of Integral Inequalities for Integrals Based on Nonadditive Measures
• Hermite-Hadamard type inequalities for harmonically convex functions
• The Gradient Projection Method Along Geodesics

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