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On absolute generalized Norlund summability of double orthogonal series | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 7، دوره 2، شماره 2، اسفند 2011، صفحه 62-74 اصل مقاله (335.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2010.96 | ||
| نویسنده | ||
| X. Z. Krasniqi* | ||
| Department of Mathematics and Computer Sciences, University of Prishtina Avenue "Mother Theresa " 5, Prishtin\"e, 10000, KOSOV\"{E} | ||
| تاریخ دریافت: 21 دی 1389، تاریخ بازنگری: 31 اردیبهشت 1390، تاریخ پذیرش: 08 خرداد 1389 | ||
| چکیده | ||
| In the paper [Y. Okuyama, On the absolute generalized Norlund summability of orthogonal series, Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions under which an orthogonal series is summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose of this paper to extend this result to double absolute summability $|N^{(2)},\mathfrak{p},\mathfrak{q}|_k$, $(1\leq k\leq 2)$. | ||
| کلیدواژهها | ||
| Double orthogonal series؛ Double Norlund summability | ||
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