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On approximation by reciprocals of polynomials with positive coefficients in Orlicz spaces |
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| Authors: | Xiaoli Wang Ran Huo Garidi Wu |
| Institution: | [1]Inner Mongolia Normal University, China [2]Inner Mongolia Agriculture University, China |
| Abstract: | This paper discusses the approximation by reciprocals of polynomials with positive coefficients in Orlicz spaces and proved that if f(x) ∈L*M 0, 1], changes its sign at most once in (0, 1), then there exists x0∈(0, 1) and a polynomial Pn∈ n(+) such that ||f(x)-x-x0/Pn(x)||≤Cω(f,n-1/2)M, where n (+) indicates the set of all polynomials of degree n with positive coefficients. |
| Keywords: | Orlicz space reciprocal of polynomial Steklov function modified Jackson kernel |
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