کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628020 1631822 2014 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximation properties of Bernstein–Durrmeyer type operators
ترجمه فارسی عنوان
خواص تقریبی اپراتورهای نوع بررسینا
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

This paper deals with the approximation of continuous functions by sequences of some modified Bernstein–Durrmeyer type operators that reproduce certain test functions. The orders of approximation of the new versions turn to be at least as good as the one of the genuine Bernstein–Durrmeyer operators. Moreover, by extrapolating techniques recently applied to the classical Bernstein operators, we present a one-parameter family of modified sequences of operators that reproduce certain polynomials and possess that popular genuine sequence as a limit case. Comparisons and some illustrative graphics are also presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 232, 1 April 2014, Pages 1–8
نویسندگان
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