- Hacettepe Journal of Mathematics and Statistics
- Cilt: 53 Sayı: 1
- Near best approximation property of interpolation and Poisson polynomials in weighted variable expon...
Near best approximation property of interpolation and Poisson polynomials in weighted variable exponent Smirnov classes
Authors : Ahmet Testici, Daniyal M. Israfilzade
Pages : 62-73
Doi:10.15672/hujms.1176919
View : 180 | Download : 241
Publication Date : 2024-02-29
Article Type : Research
Abstract :Let $G$ be a bounded Jordan domain in the complex plane $\\mathbb{C}$. In this work under some restrictions of ${G}$ the near best approximation property of complex interpolation and Poisson polynomials based on the Faber polynomials of $\\overline{{G}}$ in the weighted variable exponent Smirnov classes ${E}_{\\omega }^{p(\\cdot )}{(G)}$ are proved.Keywords : interpolating polynomials, Faber polynomials, weighted variable exponent Smirnov classes, Poisson polynomials, near the best approximation