Shape‐preserving multivariate polynomial approximation in C[−1,1]m
Copyright policy )Shape‐preserving multivariate polynomial approximation in C[−1,1]m
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 ‐modulus and preserve some natural kinds of multivariate monotonicity and convexity of function. The result extends the bivariate case in Gal (2002), but does not follow straight from it and requires a careful calculation.
- University of Oradea Romania
- University of Memphis United States
- University of Oradea (Roumanie) Romania
Approximation by polynomials, Approximation with constraints, QA1-939, Multidimensional problems, shape preserving approximation, Mathematics, multivariate polynomial approximation
Approximation by polynomials, Approximation with constraints, QA1-939, Multidimensional problems, shape preserving approximation, Mathematics, multivariate polynomial approximation
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