Abstract
This work focuses on a class of linear positive operators of discrete type. We present the relationship between the local smoothness of functions and the local approximation. Also, the degree of approximation in terms of the moduli of smoothness is established, and the statistical convergence of the sequence is studied.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
linear positive operator; moduli of smoothness; K-functional; statistical convergence
Paper coordinates
O. Agratini, Approximation properties of a class of linear operators, Mathematical Methods in the Applied Sciences, 36 (2013) no. 17, pp. 2353-2358. https://doi.org/10.1002/mma.2758
requires subscription: https://doi.org/10.1002/mma.2758
About this paper
Journal
Mathematical Methods in the Applied Sciences
Publisher Name
John Wiley & Sons
Print ISSN
0170-4214
Online ISSN
1099-1476
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