Results 31 to 40 of about 272 (207)
Regular matrix methods of summability and real interpolation
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2021 Summary: We show that the Banach-Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin-Prikry theorem [\textit{F. Galvin} and \textit{K. Prikry}, J. Symb. Log.
Kryczka, Andrzej, Kurlej, Konrad
openaire +3 more sources
Quasi-Density of Sets, Quasi-Statistical Convergence and the Matrix Summability Method [PDF]
Axioms, 2022 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
openaire +2 more sources
Some New Results on Absolute Summability Factors [PDF]
, 2020 In this paper, we establish the general summability factor theorems related to generalized absoluteCesàro summability |??, ??, ??|?? and absolute factorable matrix summability |????,????|??methods for ?? ? 1,?? + ??
Hazar Güleç, G. Canan
core +1 more source
Doubly Iterated Matrix Methods of Summability [PDF]
Proceedings of the American Mathematical Society, 1961 { Cnk } n The matrix A is said to be regular if every convergent sequence is summable-A to its natural limit; for this the requirements on the aik are the celebrated Silverman-Toeplitz conditions [1, p. 64]. The idea of the present paper derives from the appeal to replace the application of the natural limit in (1) in both instances by summability-A ...
openaire +1 more source
Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2018 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
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
Generalized Markov Projections and Matrix Summability [PDF]
, 1979 In [A1] is defined a class of Markov operators on C(X) (X compact T2), called Generalized Averaging Operators (g.a.o.) which yield an easy solution to the following problem: given a fixed Markov operator T, find necessary and sufficient conditions on any
Robert E. Atalla
core +1 more source
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 +6 more
wiley +1 more source
On absolute normal double matrix summability methods [PDF]
, 2003 It is shown that, if T is a row finite nonnegative double summability matrix satisfying certain conditions, then |T|k summability is stronger than |N, pn|k summability, for k 1. As special summability methods T we consider weighted mean and double Cesaro,
Rhoades, B. E., B. E. Rhoades
core +1 more source
Mapping properties of matrix summability methods [PDF]
Annali di Matematica Pura ed Applicata, 1971 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 ...
openaire +2 more sources