Smoothness and shape preserving properties of Bernstein semigroup

DOI10.1007/s00009-018-1146-4zbMath1482.47082OpenAlexW2801614549MaRDI QIDQ723801

Laura Mesaroş, Sever Hodiş, Ioan Raşa

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1146-4

zbMATH Keywords

Markov semigroupsimultaneous approximationBernstein operatorsshape preserving properties

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Convexity of real functions in one variable, generalizations (26A51) Approximation by positive operators (41A36)

Related Items (2)

Log-concavity preserving property of Bernstein operators and Bernstein semigroup ⋮ Steklov type operators and functional equations

Cites Work

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• Markov operators, positive semigroups and approximation processes
• Strongly convex functions of higher order
• Remarks on strongly convex functions
• The limiting semigroup of the Bernstein iterates: degree of convergence
• On Bernstein-Schnabl operators on the unit interval
• Asymptotic properties of powers of Bernstein operators
• Korovkin-type approximation theory and its applications
• The eigenstructure of the Bernstein operator
• Iterates of Bernstein polynomials
• Iteration of positive approximation operators
• Bernstein Operators and Their Properties
• A class of degenerate diffusion processes occurring in population genetics

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