Results 11 to 20 of about 283 (242)

A study on generalized absolute summability factors for a triangular matrix; pp. 115–120 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2011
In this paper, we establish a summability factor theorem for summability |A, δ|k. This paper is an extension of the main result of Savas, E. A study on absolute summability factors for a triangular matrix. Math. Ineq. Appl., 2009, 12(19), 141–146.
Ekrem Savaş
doaj   +1 more source

On |A|k summability factors of infinite series; pp. 201–206 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2010
In an earlier paper (Rhoades, B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003–1009) the authors obtained necessary conditions for the series ∑ an to be absolutely ...
B. E. Rhoades, Ekrem Savaş
doaj   +1 more source

On a new application of quasi power increasing sequences

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series,
H.S. Özarslan
doaj   +1 more source

On Absolute Summability Factors [PDF]

open access: yesProceedings of the American Mathematical Society, 1993
By using for \delta ≥ 0 so-called |\bar{N}, p_n; \delta |_k -boundedness of series \sum^{\infty}_{n=1} a_n
openaire   +5 more sources

A Theorem on Absolute Summability of Infinite Series

open access: yesCumhuriyet Science Journal, 2019
Inthis paper, a theorem on absolute summability of infinite series is obtained bytaking almost increasing sequence instead of positive non-decreasing sequence.Also, some results of absolute summability are given.
Bağdagül Kartal
doaj   +1 more source

A Summability Factor Theorem for Generalized Absolute Summability

open access: yesReal Analysis Exchange, 2006
In this paper, we establish a summability factor theorem for summability |A, |k as defined in (1) where A is a lower triangular matrix with non-negative entries satisfying certain conditions. Our paper is an extension of the main result of [1] using definition (1) below.
Rhoades, B. E., Savaş, Ekrem
openaire   +6 more sources

On a new absolute summability method

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
A theorem concerning some new absolute summability method is proved. Many other results, some of them known, are deduced.
W. T. Sulaiman
doaj   +1 more source

Some Functional Sections in Topological Sequence Spaces

open access: yesJournal of Function Spaces, 2022
Summability is a particularly fertile field for functional analysis application. Summability through functional analysis has become one of the most fascinating disciplines since it contains both interesting and challenging issues.
Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

On Strong and Absolute Summability [PDF]

open access: yesProceedings of the Glasgow Mathematical Association, 1960
Suppose throughout that λ > 0, κ > - l. γ is real and thatThe series is said to be(i) summable (C, k) to s if (ii) strongly summable (C, k + 1) with index λ, or summable |C, k + 1|λ, to s if(iii) absolutely summable (C, k) with indices γ, λ, or summable |C, k + 1|λ ...
openaire   +2 more sources

A Generalization of Absolute Rieszian Summability [PDF]

open access: yesProceedings of the American Mathematical Society, 1963
then Ea, is said to be absolutely summable by Rieszian means of order k and type X, or summable R, X, k| . The case X), n is of particular interest in this paper. Summability R, n, k| has been shown by J. M. Hyslop [3] to be equivalent to absolute Cesaro summability of order k, or summability I C, k| .
Boyer, B. J., Holder, L. I.
openaire   +1 more source

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