Abstract
In this paper we study a class of integral type positive linear operators depending on a parameter \(\beta,0\leq\beta<1\). Approximation properties of this class are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the uniform approximation over unbounded intervals is established, the convergence in certain weighted spaces is investigated. For particular case \(b=\) \(0\) some previous results are recaptured.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Linear approximation process; Korovkin-type theorem; Modulus of smoothness; Weighted space; Uniform convergence
Paper coordinates
O. Agratini, On an approximation process of integral type, Applied Mathematics and Computation, 236 (2014), pp. 195-201. https://doi.org/10.1016/j.amc.2014.03.052
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Journal
Applied Mathematics and Computation
Publisher Name
Elsevier
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