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arXiv · 1705.10076

Approximation of continuous periodic functions of two variables via power series methods of summability

Enes Yavuz·Özer Talo
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Abstract

We prove a Korovkin type approximation theorem via power series methods of summability for continuous $2\pi$-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.

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Enes Yavuz, Özer Talo. 2017-05-29. Approximation of continuous periodic functions of two variables via power series methods of summability. https://doi.org/10.1007/s40840-017-0577-6

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