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Approximation of functions from exponential weight spaces by operators of Száßsz-Mirakyan type. (English) Zbl 1129.41308

Summary: In this paper we study properties of Sz\'*asz-Mirakyan type operators \(A^nu_n\), \(B^nu_n\) defined by the modified Bessel function \(I^ \nu\). We present a Voronovskaya type theorem and theorems giving the degree of approximation by these operators for exponentially bounded functions.

MSC:

41A35 Approximation by operators (in particular, by integral operators)
34G20 Nonlinear differential equations in abstract spaces
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