The rate of pointwise approximation of positive linear operators based on q-integer

• Published in: Український математичний журнал
• Date: 2011
• Main Authors: Gupta Vijay, Nowak, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166012
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The rate of pointwise approximation of positive linear operators based on q-integer / Gupta Vijay, Nowak G. // Український математичний журнал. — 2011. — Т. 63, № 3. — С. 350–360. — Бібліогр.: 30 назв. — англ.

This paper is concerned with positive linear operators based on a q-integer. The rate of covergence of these operators are established. For these operators, we give Voronovskaya-type theorems and apply them to q Bernstein polynomials and q-Stancu operators. Розглянуто додатнi лiнiйнi оператори, що б...