On the convergence in a restricted sense of multiple series期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the convergence in a restricted sense of multiple series

Authors:	F. Móricz

Affiliation:	(1) Bolyai Institute, Aradi Vértanúk Tere 1, 6720 Szeged, Hungary

Abstract:	Z^d — k=(k₁, ...,k_d) k_j,d1.d- (8), . . $mathop sum limits_{k geqq 1}$ a_k s_m= $mathop sum limits_{1 leqq k leqq m}$ a_k s, >0 N, min (m₁,...,m_d)N, ¦s_m–s¦. , , >0 N, min (m₁,...,m_d)N min (n₁,...,n_d)N, ¦s_m–s_n. . , (8) , >0 N, max (b₁,...,b_d) N, m — Z^d, m1, ¦s(b, m)¦ where $s(b,m) = mathop sum limits_{b + 1 leqq k leqq b + m} a_k .$

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