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

Gal, CS, Gal, SG. (2004). Shape-preserving multivariate polynomial approximation in C [ -1,1]m . International Journal of Mathematics and Mathematical Sciences, 2004(7), 325-333. 10.1155/S0161171204306137

cited authors

  • Gal, CS; Gal, SG

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 ω2φ-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. Copyright © 2004 Hindawi Publishing Corporation. All rights reserved.

authors

publication date

  • December 1, 2004

published in

Digital Object Identifier (DOI)

start page

  • 325

end page

  • 333

volume

  • 2004

issue

  • 7