On constructive one-sided approximation of multivariate functions of bounded variation

DOI10.1080/01630569008816361zbMath0702.41027OpenAlexW2062057326MaRDI QIDQ3480668

Burkhard Lenze

Publication date: 1990

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569008816361

zbMATH Keywords

approximation of continuous piecewise bilinear patchesLebesgue- Stieltjes convolution operatorone-sided approximation of multivariate functions of bounded variation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation with constraints (41A29) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (3)

A note on convolution operators on Riesz Bounded variation spaces ⋮ Approximation results with respect to multidimensional \(\varphi \)-variation for nonlinear integral operators ⋮ Convergence and rate of approximation for linear integral operators in \(BV^{\varphi }\)-spaces in multidimensional setting

Cites Work

• Operators for one-side approximation by algebraic polynomials
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• On the precision of uniform approximation of continuous functions by certain linear positive operators of convolution type
• On one-sided spline approximation operators
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