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Shape‐preserving multivariate polynomial approximation in C[−1,1]m

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 325-333, 2004., 2004
We construct multivariate polynomials attached to a function f of m variables, m ≥ 2 , which approximate f with Jackson‐type rate involving a multivariate Ditzian‐Totik ω2φ‐modulus and preserve some natural kinds of multivariate monotonicity and convexity of function.
Ciprian S. Gal, Sorin G. Gal
wiley   +1 more source
Some of the next articles are maybe not open access.

Modifiedρ-Bernstein Operators for Functions of Two Variables

Numerical Functional Analysis and Optimization, 2021
P N Agrawal, Arun Kajla
exaly  

On the distribution of Fekete points

Duke Mathematical Journal, 1978
Björn E J Dahlberg
exaly  

Properties of Shepard's surfaces

Rocky Mountain Journal of Mathematics, 1983
R E Barnhill
exaly  

Quadrilateral Macroelements

SIAM Journal on Mathematical Analysis, 2002
Ming-Jun Lai, Larry L Schumaker
exaly  

Multiresolution analysis and wavelets onS2andS3

Numerical Functional Analysis and Optimization, 1995
Stephan Dahlke, Wolfgang Dahmen
exaly  

Two Korovkin-type theorems in multivariate approximation

Banach Journal of Mathematical Analysis, 2008
Allal Guessab, Gerhard Schmeiser
exaly  

A new approach to interpolating scaling functions

Applicable Analysis, 1999
Karlheinz Gröchenig, Peter Maass
exaly  

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