An asymptotic formula for a class of approximation processes of King’s type

2 years ago

(original), Approximation Theory, Linear and positive approximation operators, not-at-ICTP, paper

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.

PDF

https://ictp.acad.ro/wp-content/uploads/2023/03/2010a-Agratini-An-asymptotic-formula-for-a-class-of-approximation-processes-of-Kings-type.pdf

About this paper

Journal

Studia Scientiarum Mathematicarum Hungarica

Publisher Name

DOI

https://doi.org/10.1556/sscmath.2009.1142

Print ISSN

??

Online ISSN

google scholar link

2010