Inequalities for the weighted mean of $r$-convex functions

DOI10.1090/S0002-9939-05-07835-4zbMath1067.26022OpenAlexW1690989933MaRDI QIDQ4654110

Xiao-Ping Yang, Ming-Bao Sun

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07835-4

zbMATH Keywords

inequalitiesweighted means\(r\)-convex functions

Mathematics Subject Classification ID

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

Related Items

The homogeneous polynomial solutions for the Grushin operator ⋮ Hermite-Hadamard-type inequalities for geometrically \(r\)-convex functions in terms of Stolarsky's mean with applications to means ⋮ Monotonicity, convexity, and inequalities for the generalized elliptic integrals ⋮ The relationship between r-convexity and Schur-convexity and its application ⋮ Inequalities for the weighted mean of r-preinvex functions on an invex set ⋮ Some companions of Fejér's inequality for convex functions ⋮ Inequalities for the generalized weighted mean values of \(g\)-convex functions with applications

Cites Work

• Unnamed Item
• Unnamed Item
• Some remarks about the convolution of unimodal functions
• Stolarsky means and Hadamard's inequality
• Hadamard's inequality for \(r\)-convex functions
• Generalizations of the Logarithmic Mean
• Generalized weighted mean values with two parameters
• A continuous analogue and an extension of Radó's formulæ
• Analytic Inequalities

This page was built for publication: Inequalities for the weighted mean of $r$-convex functions