Approximation by Reciprocals of Polynomials with Positive Coefficients in Lp Spaces

Content Provider	Semantic Scholar
Author	Zhau, Yilin Zhou, Songping
Copyright Year	2001
Abstract	We prove that, if f(x) ∈ Lp[0,1], 1 < p < ∞, f(x) ≧ 0, x ∈ [0,1], f ≢ 0, then there is a polynomial p(x) ∈ П+n such that ∥f - 1/p∥LP ≦ C(p)ω(f,n-1/2)LP where П+n indicates the set of all polynomials of degree n with positive coeficients (see the definition (1) in the text).
Starting Page	205
Ending Page	217
Page Count	13
File Format	PDF HTM / HTML
DOI	10.1023/A:1013887005123
Volume Number	92
Alternate Webpage(s)	https://page-one.springer.com/pdf/preview/10.1023/A:1013887005123
Alternate Webpage(s)	https://doi.org/10.1023/A%3A1013887005123
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article