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On the monotonicity of the derivatives of the sequences of Favard and Baskakov operators - MaRDI portal

On the monotonicity of the derivatives of the sequences of Favard and Baskakov operators (Q1824128)

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scientific article; zbMATH DE number 4117149
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English
On the monotonicity of the derivatives of the sequences of Favard and Baskakov operators
scientific article; zbMATH DE number 4117149

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    On the monotonicity of the derivatives of the sequences of Favard and Baskakov operators (English)
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    1987
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    The author studies the behaviour of the sequences \(\{(M_ nf)^{(m)}(x)\}_ n\) and \(\{(P_ nf)^{(m)}(x)\}_ n\), \(m\geq 1\) of Szâsz operators and Baskakov operators respectively by using the functional introduced by \textit{D. D. Stancu} [Math. Z. 98, 46-51 (1967; Zbl 0169.074)]. Previously the only results available on such operators were on the first order derivative.
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    Szâsz operators
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    Baskakov operators
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