Results 21 to 30 of about 82,928,475 (246)
Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
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Quasi-Density of Sets, Quasi-Statistical Convergence and the Matrix Summability Method [PDF]
In this paper, we define the quasi-density of subsets of the set of natural numbers and show several of the properties of this density. The quasi-density dp(A) of the set A⊆N is dependent on the sequence p=(pn). Different sequences (pn), for the same set A, will yield new and distinct densities. If the sequence (pn) does not differ from the sequence (n)
Renata Masarova +2 more
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A new factor theorem on absolute matrix summability method*
Abstract In this paper, we have a new matrix generalization with absolute matrix summability factor of an infinite series by using quasi-β-power increasing sequences.
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Orlicz–Pettis Theorem through Summability Methods [PDF]
This paper unifies several versions of the Orlicz–Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Antonio Sala +5 more
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On application of matrix summability to Fourier series [PDF]
WOS: 000427318700016Bor has recently obtained amain theorem dealing with absolute weighted mean summability of Fourier series. In this paper, we generalized that theorem for vertical bar A, theta(n)vertical bar k summability method.
Yildiz, Sebnem, Sebnem Yildiz
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On absolute matrix summability methods [PDF]
In this paper a theorem on | A, pn |k summability methods, which generalizes a theorem of Bor [2] on | N¯, pn |k summability methods, has been ...
Öğdük, H. N., Özarslan, H. S.
core +1 more source
Structured matrix methods for computations on Bernstein basis polynomials [PDF]
This thesis considers structure preserving matrix methods for computations on Bernstein polynomials whose coefficients are corrupted by noise. The ill-posed operations of greatest common divisor computations and polynomial division are considered, and it
Yang, Ning
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
wiley +1 more source
Mapping properties of matrix summability methods [PDF]
Conditions on a complex matrix A are given which are necessary and sufficient for A to have the property that if x belongs to the complex linear space generated by the set of all convergent real sequences having nonnegative kth differences, then Ax belongs to the complex linear space generated by the set of all convergent real sequences having ...
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