Results 41 to 50 of about 10,601 (279)

On (J,pn) summability of Fourier series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
In this note two theorems have been established. The first one deals with the summability (J,pn) of a Fourier series while the second on concerns with the summability of the first derived Fourier series.
S. M. Mazhar
doaj   +1 more source

Multiplication of Strongly Summable Series [PDF]

open access: yesProceedings of the Glasgow Mathematical Association, 1958
Given a series we define , by the relationsThe series is said to be summable (C, k), where k > - 1, to the sum s ifto be summable (C, - 1) to s if it converges to s and nan = o(l); to be absolutely summable (C, k), or summable | C, k, to s if it is summable (C, k) to s andand to be strongly Cesàro summable to s with order k > 0 and index p or ...
openaire   +2 more sources

Deciphering transcriptional plasticity in pancreatic ductal adenocarcinoma reveals alterations in sensory neuron innervation

open access: yesMolecular Oncology, EarlyView.
Pancreatic sensory neurons innervating healthy and PDAC tissue were retrogradely labeled and profiled by single‐cell RNA sequencing. Tumor‐associated innervation showed a dominant neurofilament‐positive subtype, altered mitochondrial gene signatures, and reduced non‐peptidergic neurons.
Elena Genova   +14 more
wiley   +1 more source

On the approximation of conjugate of functions belonging to the generalized Lipschitz class by Euler-matrix product summability method of conjugate series of Fourier series

open access: yesRatio Mathematica, 2022
In this paper, a new theorem on the approximation of conjugate of functions belonging to the generalized Lipschitz class $Lip\left(\xi(t),p \right) $ by Euler-Matrix product summability method of conjugate series of Fourier series has been obtained.
Jitendra Kumar Kushwaha, krishna Kumar
doaj   +1 more source

A note on absolute summability factors

open access: yes, 2002
In this paper, by using an almost increasing and $\delta$-quasi-monotone sequence, a general theorem on $\phi-{\mid{C},\alpha\mid}_k$ summability factors, which generalizes a result of Bor \cite{3} on ${\phi-\mid{C},1\mid}_k$ summability factors, has ...
Ozarslan, H. S.
core   +2 more sources

Circulating tumor cell viability during and after radiotherapy mirrors treatment response in cancer patients

open access: yesMolecular Oncology, EarlyView.
Radiotherapy (RT) response depends on the DNA repair capacity of tumor and host cells. We show that circulating tumor cell (CTC) counts and apoptosis rates before and after RT predict treatment response and outcome, which can be accessed via easily accessible liquid biopsy approaches. Created in BioRender. Wikman, H.
Yvonne Goy   +10 more
wiley   +1 more source

Characterization on some absolute summability factors of infinite series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
A general theorem concerning some absolute summability factors of infinite series is proved. This theorem characterizes as well as generalizes our previous result [4]. Other results are also deduced.
W. T. Sulaiman
doaj   +1 more source

On Cesàro's Means of First Order of Wavelet Packet Series

open access: yesRatio Mathematica, 2021
A novel theory on (C; 1); Cesàro's summability of order 1 of wavelet packet series is obtained in this study.
Kumar Manoj, Shyam Lal
doaj   +1 more source

On $C_1$-summability of series.

open access: yesMichigan Mathematical Journal, 1962
Vorgelegt seien Zahlen \(a_j \geq 0\). Die Verff. betrachten alle Reihen \(\sum \varepsilon_j a_j\) (wo \(\varepsilon_j = \pm 1)\), die \(C_1\)-summierbare sind; die Menge der entsprechenden \(C_1\)-Summen bezeichnen sie mit \(SC\{a_j\}\). Das übersichtlichste Ergebnis lautet: Gibt es eine Teilfolge mit \(a_{n_i} \to 0\) und \(\sum a_{n_i} =\infty ...
Erdős, Paul, Hanani, Haim
openaire   +2 more sources

dUTPase is essential in zebrafish development and possesses several single‐nucleotide variants with pronounced structural and functional consequences

open access: yesFEBS Open Bio, EarlyView.
dUTPases are involved in balancing the appropriate nucleotide pools. We showed that dUTPase is essential for normal development in zebrafish. The different zebrafish genomes contain several single‐nucleotide variations (SNPs) of the dut gene. One of the dUTPase variants displayed drastically lower protein stability and catalytic efficiency as compared ...
Viktória Perey‐Simon   +6 more
wiley   +1 more source

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