Hermite-Hadamard-type inequalities for geometrically \(r\)-convex functions in terms of Stolarsky's mean with applications to means

DOI10.1186/s13662-021-03517-3zbMath1494.26051OpenAlexW3190203769MaRDI QIDQ2167212

Muhammad Amer Latif

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03517-3

zbMATH Keywords

convex functionHölder inequalityHermite-Hadamard inequalityStolarsky mean\(r\)-convex functionHölder-İşcan inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Cites Work

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• New Hermite-Hadamard type integral inequalities for GA-convex functions with applications
• Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces
• Stolarsky means and Hadamard's inequality
• Hadamard's inequality for \(r\)-convex functions
• Generalized linear differential equation using Hyers-Ulam stability approach
• Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex
• Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions
• On some Hadamard-type inequalities for h-convex functions
• Inequalities for the weighted mean of r-preinvex functions on an invex set
• Inequalities for the weighted mean of $r$-convex functions
• Hermite-Hadamard type inequalities for geometrically r-convex functions
• Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions
• Some integral inequalities of Simpson type for GA-ɛ-convex functions
• HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS
• Hermite-Hadamard type inequalities for GA-s-convex functions

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