Herzog, Monika Approximation of functions from exponential weight spaces by operators of Száßsz-Mirakyan type. (English) Zbl 1129.41308 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 43, No. 1, 77-94 (2003). 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. Cited in 1 ReviewCited in 1 Document MSC: 41A35 Approximation by operators (in particular, by integral operators) 34G20 Nonlinear differential equations in abstract spaces PDFBibTeX XMLCite \textit{M. Herzog}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 43, No. 1, 77--94 (2003; Zbl 1129.41308)