On the order of approximation of functions by generalized Baskakov operators (Q1766366)

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scientific article; zbMATH DE number 2141211
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On the order of approximation of functions by generalized Baskakov operators
scientific article; zbMATH DE number 2141211

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    On the order of approximation of functions by generalized Baskakov operators (English)
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    7 March 2005
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    The authors take up a sequence of linear positive operators introduced by \textit{V. Miheşan} [Autom. Comp. Appl. Math. Cluj-Napoca, 7(1), 34--47 (1998)] to study the order of approximation of a function \(f\) of a certain class, using (i) the asymptotic behaviour of \(f\) and (ii) the modulus of continuity of the derivative \(f'\). They also give a theorem on the approximation of \(f\) using the concept of the modulus of smoothness of the function.
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    Baskakov operator
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    Bernstein operator
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    modulus of smoothness
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