Approximation by the Bernstein-Durrmeyer operator on a simplex

DOI10.1007/s00365-008-9030-2zbMath1197.33011OpenAlexW2114655171MaRDI QIDQ975339

Feng Dai, Kunyang Wang, Hong-Wei Huang

Publication date: 9 June 2010

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-008-9030-2

zbMATH Keywords

orthogonal polynomialssimplexBernstein-Durrmeyer operatorDitzian-Totik moduli of smoothnessK-functionals

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability in several variables (42B08) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (8)

Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices ⋮ Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers ⋮ On the scientific work of Kunyang Wang ⋮ On the widths of Sobolev classes ⋮ Preface ⋮ Best polynomial approximation on the triangle ⋮ Multivariate Bernstein operators and redundant systems ⋮ Moduli of smoothness and approximation on the unit sphere and the unit ball

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