A pointwise approximation theorem for linear combinations of Bernstein polynomials
نویسندگان
چکیده
منابع مشابه
A Pointwise Approximation Theorem for Linear Combinations of Bernstein Polynomials
Recently, Z. Ditzian gave an interesting direct estimate for Bernstein polynomials. In this paper we give direct and inverse results of this type for linear combinations of Bernstein polynomials.
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*Correspondence: [email protected] College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, People’s Republic of China Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang, 050024, People’s Republic of China Abstract We give the direct and inverse approximation theorems for a new type of Bernstein-Durrmeyer operators with the mod...
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Approximation properties of Bernstein operators have been studied very well (see [2], [3], [5]-[8], [12]-[14], for example). In order to approximate the functions with singularities, Della Vecchia et al. [3] and Yu-Zhao [12] introduced some kinds of modified Bernstein operators. Throughout the paper, C denotes a positive constant independent of n and x, which may be different in different cases...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 1996
ISSN: 1085-3375
DOI: 10.1155/s1085337596000218