Convex ordering of Pólya random variables and approximation monotonicity of Bernstein-Stancu operators
DOI10.1007/s00025-022-01802-5zbMath1503.60022arXiv2201.05870OpenAlexW4311212941MaRDI QIDQ2103339
Alexandra D. Meleşteu, Nicolae Radu Pascu, Mihai Nicolae Pascu
Publication date: 13 December 2022
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.05870
Bernstein operatorapproximation theoryconvex orderingPólya urn modelerror estimate of Bernstein-Stancu operators
Inequalities; stochastic orderings (60E15) Linear operator inequalities (47A63) Linear operator approximation theory (47A58) Approximation by polynomials (41A10) Approximation by positive operators (41A36)
Cites Work
- An error estimate for a Bernstein-Stancu operator with negative parameter
- Stochastic orders
- Stochastic ordering of Pólya random variables and monotonicity of the Bernstein-Stancu operator for a negative parameter
- On a new positive linear polynomial operator
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