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.

Збережено в:
Бібліографічні деталі
Дата:2011
Автори: Gupta, Vijay, Nowak, G., Гупта, В., Новак, Г.
Формат: Стаття
Мова:Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2011
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/2721
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Резюме: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.