کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629094 1340573 2013 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bernstein type operators with a better approximation for some functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Bernstein type operators with a better approximation for some functions
چکیده انگلیسی

In this paper we construct new operators of Bernstein type with a better approximation than the classical Bernstein operator for some classes of functions on the whole interval [0, 1]. Convergence of these operators and their shape preserving properties are discussed. We determine the subintervals in [0, 1] in which the approximation order of constructed operators is better than that of the Bernstein operator for an arbitrary continuous function on the interval [0, 1]. Finally, we present comparisons with other two Bernstein type operators.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 17, 1 May 2013, Pages 9493–9499
نویسندگان
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