Relations between the Bernstein polynomials and \(q\)-monotone functions

DOI10.1007/s00025-022-01764-8OpenAlexW4307530427MaRDI QIDQ2093076

Ioan Raşa, Ulrich Abel, Dany Leviatan

Publication date: 4 November 2022

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

Full work available at URL: https://doi.org/10.1007/s00025-022-01764-8

zbMATH Keywords

functional inequalitiesinequalities for polynomials\(q\)-monotonicity

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 (2)

Remarks on \(q\)-monotone functions and the Bernstein polynomials ⋮ A discrete probability distribution and some applications

Cites Work

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• A solution to the problem of Raşa connected with Bernstein polynomials
• An inequality involving Bernstein polynomials and box-convex functions
• An inequality involving some linear positive operators and box-convex functions
• On the Raşa inequality for higher order convex functions. II
• 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

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