An extension of Raşa's conjecture to \(q\)-monotone functions

DOI10.1007/S00025-020-01308-YzbMath1461.26008OpenAlexW3095953319WikidataQ115600838 ScholiaQ115600838MaRDI QIDQ2660577

Ulrich Abel, Dany Leviatan

Publication date: 30 March 2021

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

Full work available at URL: https://doi.org/10.1007/s00025-020-01308-y

zbMATH Keywords

convexityfunctional inequalitiesinequalities for polynomials\(q\)-monotone functions

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Functional inequalities, including subadditivity, convexity, etc. (39B62) Approximation by positive operators (41A36) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (10)

On q-monotonicity of α-Bernstein operators ⋮ Correction to: ``An extension of Raşa's conjecture to \(q\)-monotone functions ⋮ On the Raşa inequality for higher order convex functions ⋮ On the \(q\)-monotonicity preservation of Durrmeyer-type operators ⋮ An inequality involving Bernstein polynomials and box-convex functions ⋮ An inequality involving some linear positive operators and box-convex functions ⋮ Relations between the Bernstein polynomials and \(q\)-monotone functions ⋮ Remarks on \(q\)-monotone functions and the Bernstein polynomials ⋮ A discrete probability distribution and some applications ⋮ On the Raşa inequality for higher order convex functions. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A solution to the problem of Raşa connected with Bernstein polynomials
• Muirhead inequality for convex orders and a problem of I. Raşa on Bernstein polynomials
• On a convexity problem in connection with some linear operators
• A generalization of Kantorovich operators for convex compact subsets
• An inequality involving Bernstein polynomials and convex functions
• On a convexity problem with applications to Mastroianni type operators
• 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

This page was built for publication: An extension of Raşa's conjecture to \(q\)-monotone functions