Results 31 to 40 of about 388 (219)

SOME NEW RESULTS ON ABSOLUTE MATRIX SUMMABILITY OF INFINITE SERIES AND FOURIER SERIES [PDF]

, 2023
Two known results dealing with absolute summability of infinite series and trigonometric Fourier series are generalized to the |A, p(n), beta; delta|(k) summability ...
ÖZARSLAN, HİKMET
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Noninclusion theorems: some remarks on a paper by J. A. Fridy

International Journal of Mathematics and Mathematical Sciences, 2000
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
doaj   +1 more source

Some inclusion theorems for absolute summability [PDF]

, 2012
In this work the inclusion relations between absolute summability domains of a normal matrix A and certain factorable matrices are described. Thus, some classes of factorable matrices transforming the absolute summability domain of A into a set of ...
Aasma, Ants, Ants Aasma
core   +1 more source

Transpose of Nörlund matrices on the domain of summability matrices

Journal of Inequalities and Applications, 2019
Let E=(En,k)n,k≥0 $E=(E_{n,k})_{n,k\geq 0}$ be an invertible summability matrix with bounded absolute row sums and column sums, and let Ep $E_{p}$ denote the domain of E in the sequence space ℓp $\ell _{p}$ (1 ...
Gholamreza Talebi
doaj   +1 more source

Some absolutely effective product methods

International Journal of Mathematics and Mathematical Sciences, 1992
It is proved that the product method A(C,1), where (C,1) is the Cesàro arithmetic mean matrix, is totally effective under certain conditions concerning the matrix A.
H. P. Dikshit, J. A. Fridy
doaj   +1 more source

Characterizations of summability methods derived by q-Cesàro matrix

Dera Natung Government College Research Journal
The present study  mainly aims to introduce the absolute summability method  derived  from the transformation matrix  obtained by the -Cesàro matrix   and   to establish  the  necessary and sufficient conditions for and   where   In addition, by ...
Fadime Gökçe
doaj   +1 more source

A new factor theorem on absolute matrix summability method*

AIP Conference Proceedings, 2021
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.
openaire   +3 more sources

Cell geometry and membrane protein crowding constrain Escherichia coli growth rate, overflow metabolism, respiration, and maintenance energy

FEBS Letters, EarlyView.
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson, Tomáš Gedeon, Mauricio Garcia Benitez, Campbell Putnam, William R. Harcombe, Radhakrishnan Mahadevan, Ashley E. Beck   +6 more
wiley   +1 more source

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source

Note on Absolute Matrix Summability Factors [PDF]

, 2010
In this paper a theorem on absolute matrix summability factors, which generalizes a theorem ofÖzarslan andÖgdük [5] on |T, p n | k summability methods, has been ...
Vipin Kumar Gupta, Pragati Sinha, Hirdesh Kumar   +2 more
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