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

Ciprian S. Gal and Sorin G. Gal

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-9

Abstract:

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 ω 2 φ -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.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:934927

DOI: 10.1155/S0161171204306137

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