On the Convergence of the q-Bernstein Polynomials for Power Functions

Autor:	Ahmet Yaşar Özban, Sofiya Ostrovska
Rok vydání:	2021
Předmět:	010101 applied mathematics Combinatorics General Mathematics 010102 general mathematics Convergence (routing) 0101 mathematics Power function 01 natural sciences Bernstein polynomial Mathematics
Zdroj:	Mediterranean Journal of Mathematics. 18
ISSN:	1660-5454 1660-5446
DOI:	10.1007/s00009-021-01756-y
Popis:	The aim of this paper is to present new results related to the convergence of the sequence of the complex q-Bernstein polynomials $$ \{B_{n,q}(f_\alpha ;z)\},$$ where $$01.$$ In addition, the asymptotic behavior of the polynomials $$ \{B_{n,q}(f_\alpha ;z)\},$$ with $$q>1$$ has been investigated and the obtained results are illustrated by numerical examples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::117d4da860ac56fd0fc415662aa3faf1 https://doi.org/10.1007/s00009-021-01756-y Zobrazit plný text záznamu Full text from SpringerLink