Abstract
In this paper we present a general class of linear positive operators of discrete type reproducing the third test function of Korovkin theorem. In a certain weighted space it forms an approximation process. A Voronovskaja-type result is established and particular cases are analyzed.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Approximation process; statistical convergence; Voronovskaja type fromula.
Paper coordinates
O. Agratini, An asymptotic formula for a class of approximation processes of King’s type, Studia Scientiarum Mathematicarum Hungarica, 47 (2010) no. 4, pp. 435-444, https://doi.org/10.1556/sscmath.2009.1142.
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Studia Scientiarum Mathematicarum Hungarica
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