Results 21 to 30 of about 272 (207)

A bounded consistency theorem for strong summabilities [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
The study of R-type summability methods is continued in this paper by showing that two such methods are identical on the bounded portion of the strong summability field associated with the methods.
C. S. Chun, A. R. Freedman
doaj   +2 more sources

Matrix Transformations between Certain Sequence Spaces over the Non-Newtonian Complex Field [PDF]

open access: yesThe Scientific World Journal, 2014
In some cases, the most general linear operator between two sequence spaces is given by an infinite matrix. So the theory of matrix transformations has always been of great interest in the study of sequence spaces. In the present paper, we introduce the
Uğur Kadak, Hakan Efe
doaj   +2 more sources

On absolute factorable matrix summability methods [PDF]

open access: yes, 2016
Summary: In this paper, we give necessary and sufficient conditions for \(| C, 0|_k\Rightarrow | A_f|_s\) and \(| A_f|_k\Rightarrow | C, 0|_s\) for the case \(1 < k \leq s < \infty\), where \(| A_f|_k\) is absolute factorable summability. So we obtain some known results.
Sarıgöl, Mehmet Ali
openaire   +5 more sources

On absolute matrix summability methods [PDF]

open access: yesMathematical Communications, 2005
We have proved a theorem on summability methods. This theorem includes a known theorem.
Hikmet Seyhan Özrssln, H. N. Ögdük
openaire   +5 more sources

F-seminorms on generalized double sequence spaces defined by modulus functions; pp. 121–132 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2014
Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences.
Enno Kolk, Annemai Raidjõe
doaj   +1 more source

A summability factor theorem for absolute summability involving quasi-monotone sequences [PDF]

open access: yes, 2009
In this paper we prove a theorem on | A |k, k ? 1, summability factors for an infinite series by replacing a weighted mean matrix with a triangular matrix. © 2008 Elsevier Ltd.
Savaş, Ekrem
core   +5 more sources

Applied summability methods [PDF]

open access: yes, 2014
This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years.
Mursaleen, M
core   +1 more source

New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

open access: yesAxioms, 2018
In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi   +2 more
doaj   +1 more source

On application of matrix summability to Fourier series [PDF]

open access: yes, 2017
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
core   +1 more source

Multiplicative Summability Methods and the Stone-Čech Compacification [PDF]

open access: yes, 1959
A regular summability method ψ (for real sequences) is called multiplicative (b-multiplicative) if whenever f, g are two (bounded) sequences summed by ψ, then ψ(fg) = ψ(f)ψ(g). It is known [11], [17], p.
Henriksen, Melvin, Melvin Henriksen
core   +1 more source

Home - About - Disclaimer - Privacy