Approximation by polynomials and rational functions in weighted rearrangement invariant spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:346

Article

Israfilov, Daniyal M.¹  Akgun, Ramazan¹ 

[1] Balikesir Univ, Fac Arts & Sci, Dept Math, TR-10145 Balikesir, Turkey

关键词: Dini-smooth curve;    Banach function spaces;    direct theorems;    inverse theorems;    weighted rearrangement invariant space;    modulus of smoothness;    constructive characterization;   

DOI  :  10.1016/j.jmaa.2008.05.040

来源: Elsevier

【 摘 要 】

Let Gamma be a Dini-smooth curve in the complex plane, and let G := lnt Gamma. We prove some direct and inverse theorems of approximation theory by algebraic polynomials and rational functions in the weighted rearrangement invariant Smirnov spaces E (X) (G, omega) defined on G. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free