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 : 194 | Download : 246

Publication Date : 2024-02-29

Article Type : Research Paper

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