Abstract
The main goal of the article is to introduce a class of double complex linear operators of integral type. The technique is based by extension into the complex domain of a real positive approximation process. Involving the first modulus of continuity, we investigate their geometric and approximation properties. The statistical convergence of our sequence is proved. In a particular case, our operators turn into the double complex Gauss-Weierstrass integral operators.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
A-statistically convergence; Complex Gauss-Weierstrass operator; Modulus of continuity
Paper coordinates
O. Agratini, On a double complex sequence of linear operators, Numerical Functional Analysis and Optimization, 34 (2013) no. 6, pp. 605-612. https://doi.org/10.1080/01630563.2013.763823
requires subscription: https://doi.org/10.1080/01630563.2013.763823
About this paper
Journal
Numerical Functional Analysis and Optimization
Publisher Name
Taylor and Francis Ltd.
Print ISSN
01630563
Online ISSN
15322467
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