Results 31 to 40 of about 663,521 (284)
Absolute almost weighted summability methods
In thepresent paper we introduce absolute almost weighted convergent series and treatwith the classical results of Bor [3-4] and also study some its relations tothe well known spaces.
Mehmet Ali Sarıgöl
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On Absolute Summability Factors
\textit{T. M. Flett} [Proc.~Lond. Math.~Soc., III. Ser. 7, 113--141 (1957; Zbl 0109.04402)] has defined absolute summability of order \(k\) in the following manner:\ Let \(\{s_n\}\) be the sequence of partial sums of the infinite series \(\sum a_n\), and let \(\sigma_n^\alpha\) denote the \(n\)th Cesàro mean, of order \(\alpha>-1\), of \(\{s_n ...
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On the Absolute Summability (A) of Infinite Series [PDF]
§1. A serieshas been defined by J. M. Whittaker to be absolutely summable (A), ifis convergent in (0 ≤ x < 1) and f (x) is of bounded variation in (0, 1), i.e.for all subdivisions 0 = x0 < x1 < x2 < . … < xm < 1.
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Absolute matrix summability via almost increasing sequence
In the present paper, a new theorem concerning absolute matrix summability factors, which generalizes a theorem on the summability factors of infinite series, has been proved by using almost increasing sequence and matrix transformation ...
Kartal, Bağdagül +1 more
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Identifying Patterns of Hospitalizations Among Childhood Cancer Survivors: A Population‐Based Study
ABSTRACT Background Childhood cancer survivors (CCSs) experience more hospitalizations than the general population. We aimed to identify distinct hospitalization patterns among Queensland CCSs and the associated characteristics. Methods Cases (aged ≤14 years) diagnosed between 1995 and 2019 while residents of Queensland were identified through the ...
Hai Pham +7 more
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On Absolute Weighted Mean Summability
Using functional analytic techniques, the authors obtain the necessary and sufficient conditions in order that the series \(\sum a_ n\) should be summable \(| R, q_ n |_ k\), \(k \geq 1\), whenever it is summable \(| R, p_ n |\). The results contained in this paper extend the known results of \textit{L. S. Bosanquet} [published in the review in M.
Orhan, C., Sarigöl, M.A.
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ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
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On absolute summability factors
Not available.
M. Ali Sarigöl
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The absolute summability (A) of ultraspherical series [PDF]
This paper is devoted to the discussion of |A| summability of ultraspherical series on a sphere. The first theorem also gives a new result forLaplace series in case λ=1/2.
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A study on absolute summability factors for a triangular matrix [PDF]
In this paper we obtain an absolute summability factor theorem for lower triangular matrices ...
Ekrem Savaş, Savaş, Ekrem
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