Approximation of Continuous Periodic Functions of Two Variables via Power Series Methods of Summability
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Date
2019
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Abstract
We prove a Korovkin-type approximation theorem via power series methods of summability for continuous 2 π-periodic functions of two variables and verify the convergence of approximating double sequences of positive linear operators by using modulus of continuity. An example concerning double Fourier series is also constructed to illustrate the obtained results. © 2017, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.