Remarks on \(q\)-monotone functions and the Bernstein polynomials

DOI10.1007/S00025-022-01810-5zbMath1504.26027OpenAlexW4313422324MaRDI QIDQ2110272

Ioan Raşa, Ulrich Abel, Dany Leviatan

Publication date: 21 December 2022

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

Full work available at URL: https://doi.org/10.1007/s00025-022-01810-5

zbMATH Keywords

functional inequalitiespolynomial inequalities\(q\)-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)

Cites Work

• Unnamed Item
• A solution to the problem of Raşa connected with Bernstein polynomials
• Relations between the Bernstein polynomials and \(q\)-monotone functions
• 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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