On the Raşa inequality for higher order convex functions

DOI10.1007/s00025-021-01417-2zbMath1470.26030OpenAlexW3159716812MaRDI QIDQ2038855

Andrzej Komisarski, Teresa Rajba

Publication date: 7 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01417-2

zbMATH Keywords

functional inequalities related to convexityhigher order stochastic convex orderingsinequalities related to stochastic convex orderings

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15) Difference operators (39A70) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (4)

The interplay between linear functional equations and inequalities ⋮ On the integral representation and the Raşa, Jensen and Hermite-Hadamard inequalities for box-convex functions ⋮ An inequality involving Bernstein polynomials and box-convex functions ⋮ On the Raşa inequality for higher order convex functions. II

Cites Work

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• Stochastic orders
• Muirhead inequality for convex orders and a problem of I. Raşa on Bernstein polynomials
• On a convexity problem in connection with some linear operators
• Convex order for convolution polynomials of Borel measures
• An inequality involving Bernstein polynomials and convex functions
• An extension of Raşa's conjecture to \(q\)-monotone functions
• A sharpening of a problem on Bernstein polynomials and convex functions and related results
• A sharpening of a problem on Bernstein polynomials and convex functions

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