Quantitative theorems on approximation by Bernstein-Stancu operators

DOI10.1007/BF02576170zbMath0568.41021MaRDI QIDQ1060369

J. Meier, Heinz H. Gonska

Publication date: 1984

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

Bernstein-Stancu operatorspointwise degree of approximationsecond order modulus of continuity

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (14)

Convergence of iterated Boolean sums of simultaneous approximants ⋮ Positive linear operators with equidistant nodes ⋮ On the variation-diminishing property ⋮ A de Casteljau algorithm for \(q\)-Bernstein-Stancu polynomials ⋮ Approximation Properties of the Modified Stancu Operators ⋮ An error estimate for a Bernstein-Stancu operator with negative parameter ⋮ Over-iterates of Bernstein-Stancu operators ⋮ The Integral Type Modification of Jain Operators and its Approximation Properties ⋮ Generalized Bernstein polynomials and symmetric functions ⋮ Approximation by Boolean sums of linear operators: Telyakovskiǐ-type estimates ⋮ Approximation processes for resolvent operators ⋮ Approximation properties for generalized \(q\)-Bernstein polynomials ⋮ The rate of pointwise approximation of positive linear operators based on \(q\)-integer ⋮ Approximation by means of piecewise linear functions

Cites Work

• Mathematical expectation of continuous functions of random variables. Smoothness and variance
• Sui resti di alcune formule lineari di approssimazione
• Operatoren vom Bernsteinschen Typ
• On approximation of continuously differentiable functions by positive linear operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
• On a new positive linear polynomial operator
• On approximation by linear positive operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quantitative theorems on approximation by Bernstein-Stancu operators