Polynomial Approximation in Several Variables

Z. Ditzian, Вилмос Тотик

Type: Book-Chapter

Publication Date: 1987-01-01

Citations: 6

DOI: https://doi.org/10.1007/978-1-4612-4778-4_13

Abstract

In this chapter we investigate polynomial approximation on polytopes in R m , m ≥ 2. A modulus of smoothness will be introduced and its behavior will be related to the rate of polynomial approximation. It will turn out that in many cases the problem of polynomial approximation in several variables can be reduced to that of ordinary polynomial approximation on a finite interval.

Locations

Springer series in computational mathematics - View
SZTE Publicatio Repozitórium (University of Szeged) - View - PDF

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Works Cited by This (2)

Action	Title	Year	Authors
+	Moduli of smoothness and approximation on the unit sphere and the unit ball	2010	Feng Dai Yuan Xu
+	Elementary Proof of the Remez Inequality	1993	Borislav Bojanov