An error estimate for a Bernstein-Stancu operator with negative parameter

DOI10.1007/s00025-019-0968-0zbMath1407.41011OpenAlexW2911558838WikidataQ128503834 ScholiaQ128503834MaRDI QIDQ667575

Mihai Nicolae Pascu, Nicolae Radu Pascu, Florenţa Tripşa

Publication date: 28 February 2019

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

Full work available at URL: https://doi.org/10.1007/s00025-019-0968-0

zbMATH Keywords

Bernstein operatorpositive linear operatorapproximation theoryBernstein-Stancu operatorPólya-Eggenberger distribution

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (2)

Stochastic ordering of Pólya random variables and monotonicity of the Bernstein-Stancu operator for a negative parameter ⋮ Convex ordering of Pólya random variables and approximation monotonicity of Bernstein-Stancu operators

Cites Work

• Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen
• Quantitative theorems on approximation by Bernstein-Stancu operators
• 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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