Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
نویسندگان
چکیده
منابع مشابه
Pointwise approximation by a Durrmeyer variant of Bernstein-Stancu operators
In the present paper, we introduce a kind of Durrmeyer variant of Bernstein-Stancu operators, and we obtain the direct and converse results of approximation by the operators.
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In this note, we introduce the Durrmeyer variant of Stancu operators that preserve the constant functions depending on non-negative parameters. We give a global approximation theorem in terms of the Ditzian-Totik modulus of smoothness, a Voronovskaja type theorem and a local approximation theorem by means of second order modulus of continuity. Also, we obtain the rate of approximation for absol...
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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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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2010
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-010-0049-8