Results 71 to 80 of about 541 (282)
On the Summability Factors of Infinite Series
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1983 The author establishes the following theorem on the summability factors of infinite series. If (i) \(\lambda_ n=o(1)\), (ii) \(\sum^{n}_{v=1}v \log v| \Delta^ 2\lambda_ v| =O(1)\), \(n\to \infty\) and if there exists a \(\beta >0\) such that the sequence \((n^{\beta -k}| \phi_ n|^ k)\) is non-increasing and \(\sum^{n}_{v=1}v^{- k}| \phi_ vt_ v|^ k=O ...
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ABSOLUTE SUMMABILITY FACTORS FOR CESARO AND RIESZ MEANS
, 2022 In this paper we characterize the sets of summability factors (|C, 0|(k), | R, p(n) |(s)) and (|R, p(n)|(k), | C, 0|(s)), 1 k = s infinity, which also extends some known ...
Sarıgöl, Mehmet Ali
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Liquid biopsy‐based diagnostic evaluation of hypermethylated CpG sites for ovarian cancer diagnosis
Molecular Oncology, EarlyView.This schematic outlines the workflow from biomarker identification to duplex MethyLight assay validation for epithelial ovarian cancer diagnosis using cfDNA‐based liquid biopsy. Initial screening of hypermethylated CpG candidates (cg02957270, cg10061138 cg00480298, COL2A1) was performed in tissue using ARMS‐PCR, COBRA, qPCR and image analysis. Selected
Deepa Bisht +3 more
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On the absolute Cesàro summability factors
Journal of Numerical Analysis and Approximation Theory, 1991 Not available.
Hüseyin Bor
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Factors for absolute Cesaro summability
Tamkang Journal of Mathematics, 2001 In this paper using $ \delta $-quasi-monotone sequences a theorem on $ | C, \alpha, \beta; \delta |_k $ summability factors of infinite series, which generalizes a theorem of Mazhar[6] on $ | C, 1 |_k $ summability factors, has been proved.
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Factors for generalized absolute Cesàro summability
, 2008 In this paper, a result of Bor [2] dealing with ${\mid{C,\alpha;\beta}\mid}_k$ summability factors has been generalized for ${\mid{C},\alpha, \gamma;\beta\mid}_k$ summability ...
Bor, Hüseyin, Hüseyin Bor
core
On some summability factors of infinite series
, 1992 A new theorem concerning some summability factors of infinite series is proved. Other results, some of them known, are also deduced.
W. T. Sulaiman
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A NEW RESULT FOR WEIGHTED ARITHMETIC MEAN SUMMABILITY FACTORS OF INFINITE SERIES INVOLVING ALMOST INCREASING SEQUENCES [PDF]
, 2019 WOS: 000488869500032In this paper, a known theorem dealing with weighted mean summability methods of non-decreasing sequences has been generalized for vertical bar A, p(n); delta vertical bar(k) summability factors of almost increasing sequences.
Yildiz, Sebnem, Yıldız, Şebnem
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Molecular Oncology, EarlyView.Patient‐derived organoids (PDOs) from pancreatic, colorectal, and gastric cancers were used to evaluate standard and experimental therapies. Incorporating cancer‐associated fibroblasts (CAFs) into organoid cultures improved patient therapy outcome prediction.
Marcin Grochowski +12 more
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Extension of Mazhar’s theorem on summability factors
Kuwait Journal of Science, 2015 By (X; Y ) we denote the set of all sequences such thatPa nnis summable X wheneverPa n is summable Y , where X and Y are sum-mability methods. In this paper we characterize the set (jC; jk ;N; p n) fork > 1; > 1 and arbitrary positive ...
MEHMET ALI SARIGOL
doaj