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On the degree of approximation of certain continuous bivariate functions by double matrix means of a double Fourier series | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 12، شماره 2، بهمن 2021، صفحه 609-628 اصل مقاله (450.19 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.19112.2056 | ||
نویسنده | ||
Xhevat Z. Krasniqi* | ||
Department of Mathematics and Informatics, University of Prishtina, Hasan Prishtina, Prishtina, Kosovo | ||
تاریخ دریافت: 20 آبان 1398، تاریخ بازنگری: 20 دی 1398، تاریخ پذیرش: 22 دی 1398 | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Double Fourier series؛ Lipschitz class؛ Factorable matrices؛ Ces`aro means؛ N"orlund means؛ Riesz means | ||
مراجع | ||
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