Results 21 to 30 of about 272 (207)
A bounded consistency theorem for strong summabilities [PDF]
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
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Matrix Transformations between Certain Sequence Spaces over the Non-Newtonian Complex Field [PDF]
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
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On absolute factorable matrix summability methods [PDF]
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
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On absolute matrix summability methods [PDF]
We have proved a theorem on summability methods. This theorem includes a known theorem.
Hikmet Seyhan Özrssln, H. N. Ögdük
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F-seminorms on generalized double sequence spaces defined by modulus functions; pp. 121–132 [PDF]
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
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A summability factor theorem for absolute summability involving quasi-monotone sequences [PDF]
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
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Applied summability methods [PDF]
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
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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
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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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Multiplicative Summability Methods and the Stone-Čech Compacification [PDF]
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
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