Hadamard Integral Inequality for the Class of Harmonically (γ, η)-Convex Functions

DOI10.1007/978-3-030-28950-8_34zbMath1447.26034OpenAlexW2991456570MaRDI QIDQ5120141

Maryam Oraki, Hamid Vosoughian, Sadegh Abbaszadeh

Publication date: 9 September 2020

Published in: Frontiers in Functional Equations and Analytic Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28950-8_34

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (1)

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

Cites Work

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• The Sugeno fuzzy integral of log-convex functions
• Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
• On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals
• Extensions of the Hermite-Hadamard inequality for harmonically convex functions via fractional integrals
• 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
• Duality theorems on multi-objective programming of generalized functions
• Hölder type integral inequalities with different pseudo-operations
• Generalizations of Integral Inequalities for Integrals Based on Nonadditive Measures

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