On absolute generalized Norlund summability of double orthogonal series

	On absolute generalized Norlund summability of double orthogonal series
International Journal of Nonlinear Analysis and Applications
مقاله 7، دوره 2، شماره 2، 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}
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
آمار تعداد مشاهده مقاله: 50,891 تعداد دریافت فایل اصل مقاله: 60,125

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