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On the Approximation by Bivariate Szasz-Jakimovski-Leviatan-Type Operators of Unbounded Sequences of Positive Numbers
Journal article   Open access  Peer reviewed

On the Approximation by Bivariate Szasz-Jakimovski-Leviatan-Type Operators of Unbounded Sequences of Positive Numbers

Abdullah Alotaibi
Mathematics (Basel), Vol.11(4), p.1009
01/02/2023

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we construct the bivariate Szasz-Jakimovski-Leviatan-type operators in Dunkl form using the unbounded sequences alpha(n), beta(m) and xi(m) of positive numbers. Then, we obtain the rate of convergence in terms of the weighted modulus of continuity of two variables and weighted approximation theorems for our operators. Moreover, we provide the degree of convergence with the help of bivariate Lipschitz-maximal functions and obtain the direct theorem.
url
https://doi.org/10.3390/math11041009View
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