Muirhead inequality for convex orders and a problem of I. Raşa on Bernstein polynomials
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Publication:1674431
DOI10.1016/j.jmaa.2017.09.047zbMath1380.26018arXiv1703.10634OpenAlexW2962795368MaRDI QIDQ1674431
Teresa Rajba, Andrzej Komisarski
Publication date: 2 November 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.10634
Bernstein polynomialsstochastic orderconvex functionsMuirhead inequalitystochastic convex orderfunctional inequalities related to convexity
Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)
Related Items (10)
A sharpening of a problem on Bernstein polynomials and convex functions and related results ⋮ An extension of Raşa's conjecture to \(q\)-monotone functions ⋮ On a convexity problem with applications to Mastroianni type operators ⋮ A generalization of an inequality related to a conjecture involving convex functions ⋮ A sharpening of a problem on Bernstein polynomials and convex functions ⋮ On the Raşa inequality for higher order convex functions ⋮ An inequality involving Bernstein polynomials and box-convex functions ⋮ Convex order for convolution polynomials of Borel measures ⋮ A discrete probability distribution and some applications ⋮ On the Raşa inequality for higher order convex functions. II
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- A solution to the problem of Raşa connected with Bernstein polynomials
- Markov operators, positive semigroups and approximation processes
- Stochastic orders
- Bernstein-type operators diminish the \(\varphi\)-variation
- A generalization of Kantorovich operators for convex compact subsets
- Stochastic orders in preservation properties by Bernstein-type operators
- Inequalities: theory of majorization and its applications
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