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Abstract  

Recently P. Mache and M. W. Müller introduced the Baskakov quasi-interpolants and obtained an approximation equivalence theorem. In this paper we consider simultaneous approximation equivalence theorem for Baskakov quasi-interpolants.

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Abstract  

We obtain inequalities for the weighted approximation error of Baskakov type operators and their derivatives. Such inequalities are valid for functions of polynomial growth and are expressed in terms of weighted moduli of continuity.

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In this paper we obtain a direct estimate on the pointwise simultanous approximation by the combinations of Baskakov operators.

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Abstract.

We prove some new direct and converse results on simultaneous approximation by the combinations of Bernstein–Kantorovich operators using the Ditzian–Totik modulus of smoothness.

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. [9] Gonska , H. H. , Quantitative Korovkin-type theorems on simultaneous approximation , Math. Z., , 186 ( 1984 ), 419 – 433 . [10

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