The rate of pointwise approximation of positive linear operators based on q-integer
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...
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| Published in: | Український математичний журнал |
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| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2011
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/166012 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 базуються на q-цiлому. Встановлено швидкiсть збiжностi цих операторiв. Теореми типу Вороновської наведено для цих операторiв та застосовано до q-полiномiв Бернштейна та q-операторiв Станку.
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| ISSN: | 1027-3190 |