Approximation by Reciprocals of Polynomials with Positive Coefficients in L p Spaces |
| |
| Authors: | Y. Zhau S.P. Zhou |
| |
| Affiliation: | (1) The Mathematical Institute, Ningbo University, Ningbo, Zhejiang, 315211, China;(2) Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, 310028, China |
| |
| 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)  +n such that  f - 1/pLP  C(p) (f,n-1/2)LP where +n indicates the set of all polynomials of degree n with positive coeficients (see the definition (1) in the text). |
| |
| Keywords: | reciprocal Jackson type estimate nonnegative function Lp space |
| 本文献已被 SpringerLink 等数据库收录！ |
|
