Results 31 to 40 of about 5,164 (237)
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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Detection of extrachromosomal circular DNA (eccDNA) in plasma samples from EGFR‐mutated non‐small cell lung cancer patients. Plasma was collected before and during treatment with the EGFR‐tyrosine kinase inhibitor osimertinib. Plasma eccDNA was detected in all cancer samples, and the presence of the EGFR gene on eccDNA serves as a potential biomarker ...
Simone Stensgaard +5 more
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Summability factors between the absolute Cesàro methods
If Σε_{n}x_{n} is summable by the method Y whenever Σx_{n} is summable by the method X, then we say that the factor ε=(ε_{n}) is of type (X,Y) and denote by (X,Y).
G. Canan Hazar Güleç
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On Absolute Riesz Summability Factors
\textit{H. Bor} and \textit{H. Seyhan} [Indian J. Pure Appl. Math. 30, No. 10, 1041-1046 (1999; Zbl 0942.40001)] proved a theorem on \(|\overline N,p_n, \delta|_k\), \(k\geq 1\) and \(0\leq ...
Ozarslan, Hikmet, Bor, Hüseyin
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HDAC4 is degraded by the E3 ligase FBXW7. In colorectal cancer, FBXW7 mutations prevent HDAC4 degradation, leading to oxaliplatin resistance. Forced degradation of HDAC4 using a PROTAC compound restores drug sensitivity by resetting the super‐enhancer landscape, reprogramming the epigenetic state of FBXW7‐mutated cells to resemble oxaliplatin ...
Vanessa Tolotto +13 more
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The Method of almost convergence with operator of the form fractional order and applications
The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character.
Kadak, Ugur, Kirisci, Murat
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On Strong and Absolute Summability [PDF]
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 ...
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Development of therapies targeting cancer‐associated fibroblasts (CAFs) necessitates preclinical model systems that faithfully represent CAF–tumor biology. We established an in vitro coculture system of patient‐derived pancreatic CAFs and tumor cell lines and demonstrated its recapitulation of primary CAF–tumor biology with single‐cell transcriptomics ...
Elysia Saputra +10 more
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Noninclusion theorems: some remarks on a paper by J. A. Fridy
In 1997, J. A. Fridy gave conditions for noninclusion of ordinary and of absolute summability domains. In the present note, these conditions are interpreted in a natural topological context thus giving new proofs and also explaining why one of these ...
W. Beekmann
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On the absolute Nörlund summability factors [PDF]
In this paper a theorem on the absolute Nörlund summability factors has been proved under more weaker conditions by using an almost increasing ...
H. Bor
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