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Approximation properties of a class of linear operators
Authors:Octavian Agratini
Institution:Babe?‐Bolyai University, Faculty of Mathematics and Computer Science, , 400084 Cluj‐Napoca, Romania
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. Copyright © 2013 John Wiley & Sons, Ltd.
Keywords:linear positive operator  moduli of smoothness  K‐functional  statistical convergence
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