Global smoothness preservation by bivariate interpolation operators

DOI10.1007/BF02835279zbMath1050.41005OpenAlexW1988654007MaRDI QIDQ4810653

József Szabados, Sorin Gheorghe Gal

Publication date: 16 August 2004

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02835279

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Cites Work

• Lipschitz constants for some approximation operators of a Lipschitz continuous function
• Properties of Shepard's surfaces
• Jackson-type theorems on approximation by trigonometric and algebraic pseudopolynomials
• On the construction and convergence of multivariate interpolation operators
• The Rapidity of Convergence of the Hermite-Fejer Approximation to Functions of One or Several Variables
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