A note on infinite series
نویسندگان
چکیده
منابع مشابه
A note on | A | k summability factors of infinite series
A weighted mean matrix, denoted by (N , pn), is a lower triangular matrix with entries pk/Pn, where {pk} is a nonnegative sequence with p0 > 0, and Pn := ∑n k=0 pk. Mishra and Srivastava [1] obtained sufficient conditions on a sequence {pk} and a sequence {λn} for the series ∑ anPnλn/npn to be absolutely summable by the weighted mean matrix (N , pn). Bor [2] extended this result to absolute sum...
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W. T. Sulaiman Department of Mathematic, College of Computer Science and Mathematics, Mosul University, Mosul, Iraq Correspondence should be addressed to W. T. Sulaiman, [email protected] Received 14 October 2007; Accepted 21 April 2008 Recommended by Huseyin Bor New results concerning product summability of an infinite series are given. Some special cases are also deduced. Copyright q 2...
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motivated by a celebrated theorem of schur, we show that if~$gamma$ is a normal subgroup of the full automorphism group $aut(g)$ of a group $g$ such that $inn(g)$ is contained in $gamma$ and $aut(g)/gamma$ has no uncountable abelian subgroups of prime exponent, then $[g,gamma]$ is finite, provided that the subgroup consisting of all elements of $g$ fixed by $gamma$ has finite index. so...
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متن کاملA Note on Generalized |A|k-Summability Factors for Infinite Series
Aweighted mean matrix, denoted by N,pn , is a lower triangular matrix with entries pk/Pn, where {pk} is a nonnegative sequence with p0 > 0, and Pn : ∑n k 0 pk. Mishra and Srivastava 1 obtained sufficient conditions on a sequence {pk} and a sequence {λn} for the series ∑ anPnλn/npn to be absolutely summable by the weighted mean matrix N,pn . Recently Savaş and Rhoades 2 established the correspon...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1942
ISSN: 0386-2194
DOI: 10.3792/pia/1195573781