Voronovskaya type asymptotic approximation by modified gamma operators
\textit{A. Lupas} and \textit{M. Müller} [Math. Z. 98, 208--226 (1967; Zbl 0171.02301)] defined the gamma operators \(G_n(f;x)\). Recently \textit{A. İzgi} and \textit{I. Büyükyazici} [``Approximation in boundless interval and order of approximation'', Kastamonu E\"g itim dergisi II (2), 451--456 (2003)] modified the gamma operator as \(A_n(f;x)=\int_0^\infty K_n(x,t)f(t)\,dt\), defined for any \(f\) for which the last integral is convergent, where \(n=1,2,3,\dots\). The author establishes a Voronovskaya type asymptotic formula and obtains an error estimate formula for this modified gamma operator.
scientific article; zbMATH DE number 5914119