New inequalities for strongly \(r\)-convex functions

DOI10.1155/2019/1219237zbMath1419.46045OpenAlexW2907844687MaRDI QIDQ1733836

Huriye Kadakal

Publication date: 21 March 2019

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/1219237

zbMATH Keywords

inequalitiesHermite-Hadamard inequalitiesstrongly $r$-convex functions

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

On \(n\)-polynomial convexity and some related inequalities ⋮ Geometric trigonometrically convexity and better approximations ⋮ Exponential trigonometric convex functions and Hermite-Hadamard type inequalities ⋮ Unnamed Item ⋮ Some new Hermite-Hadamard type inequalities for \(s\)-convex functions and their applications ⋮ Exponential type convexity and some related inequalities

Cites Work

• The Hermite-Hadamard inequality for \(r\)-convex functions
• Remarks on strongly convex functions
• Some remarks about the convolution of unimodal functions
• Stolarsky means and Hadamard's inequality
• Hadamard's inequality for \(r\)-convex functions
• Refinements of Hadamard's inequality for \(r\)-convex functions
• Refinements on the Hermite-Hadamard inequalities for \(r\)-convex functions
• Some new integral inequalities for N-times differentiable R-convex and R-concave functions
• Some new integral inequalities for n-times differentiable convex and concave functions
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