Approximation theorems for the iterated Boolean sums of Bernstein operators

DOI10.1016/0377-0427(92)00133-TzbMath0816.41020OpenAlexW1964861319MaRDI QIDQ1343645

Heinz H. Gonska, Xin-Long Zhou

Publication date: 23 January 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)00133-t

zbMATH Keywords

Bernstein operatorsiterated Boolean sums

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Inverse theorems in approximation theory (41A27)

Related Items

Convergence of iterated Boolean sums of simultaneous approximants, Improved rate of approximation by modification of Baskakov operator, On the limits of (linear combinations of) iterates of linear operators, Asymptotically efficient estimation of smooth functionals of covariance operators, Convergence rate for iterates of q-Bernstein polynomials, Unnamed Item, On the numerical solution of Volterra integral equations on equispaced nodes, Iterated Boolean Sums of Bernstein Type Operators, The iterates of positive linear operators preserving constants, On simultaneous approximation by iterated Boolean sums of Bernstein operators, Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums, Asymptotic behaviour of the iterates of positive linear operators, Convergence of Iterated Boolean-type Sums and Their Iterates, On the iterates of positive linear operators preserving the affine functions, \(K\)-functionals and multivariate Bernstein polynomials, Efficient and robust density estimation using Bernstein type polynomials, Strong converse inequality for linear combinations of Szász-Mirakjan operators, The eigenstructure of the Bernstein operator, Some numerical applications of generalized Bernstein operators, A product integration rule on equispaced nodes for highly oscillating integrals, On the convergence and iterates of \(q\)-Bernstein polynomials

Cites Work

• Linearkombinationen von iterierten Bernsteinoperatoren
• A global inverse theorem on simultaneous approximation by Bernstein- Durrmeyer operators
• Acceleration of convergence of sequences of multivariate simultaneous approximants
• Papers of L.V. Kantorovich on Bernstein polynomials
• The saturation class and iterates of the Bernstein polynomials
• ON THE ITERATIVE COMBINATIONS OF BERNSTEIN POLYNOMIALS
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