On the degree of approximation of certain continuous bivariate functions by double matrix means of a double Fourier series

Document Type : Research Paper

Author

Department of Mathematics and Informatics, University of Prishtina "Hasan Prishtina", Prishtina, Kosovo

10.22075/ijnaa.2020.19112.2056

Abstract

In this paper, we have studied the degree of approximation of certain bivariate functions by double factorable matrix means of a double Fourier series. Four theorems are proved using single rest bounded variation sequences, single head bounded variation sequences, double rest bounded variation sequences, and two non-negative mediate functions. These results expressed in terms of two functions of modulus type and two non-negative mediate functions, imply many particular results as shown at last section of this paper.

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