Results 11 to 20 of about 202 (73)
Noninclusion theorems: some remarks on a paper by J. A. Fridy [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 2, Page 119-122, 2000., 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
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Inclusion results for convolution submethods
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 2, Page 55-64, 2004., 2004 If B is a summability matrix, then the submethod Bλ is the matrix obtained by deleting a set of rows from the matrix B. Comparisons between Euler‐Knopp submethods and the Borel summability method are made. Also, an equivalence result for convolution submethods is established.
Jeffrey A. Osikiewicz, Mohammad K. Khan
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Logarithmic matrix transformations into Gw
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 25, Page 1309-1314, 2004., 2004 We introduced the logarithmic matrix Lt and studied it as mappings into ℓ and G in 1998 and 2000, respectively. In this paper, we study Lt as mappings into Gw.
Mulatu Lemma
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Statistical (T) rates of convergence [PDF]
, 2004 The basis for comparing rates of convergence of two null sequences is that "x = (xn) converges (stat T) faster than z = (zn) provided that (xn/zn) is T-statistically convergent to zero" where T = (tmn) is a mean.
C. Orhan, H. I. Miller
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ON BOUNDEDNESS WITH SPEED λ IN ULTRAMETRIC FIELDS [PDF]
, 2022 In the present paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) field. Entries of sequences, infinite series and infinite matrices are in K. Following Kangro [2, 3, 4], we introduce the concept of boundedness with speed
Pinnangudi, Natarajan Narayanasubramanian
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On topological properties of spaces obtained by the double band matrix
Open Mathematics, 2017 Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
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Ideal convergence generated by double summability methods
Demonstratio Mathematica, 2016 The main result of this note is that if I is an ideal generated by a regular double summability matrix summability method T that is the product of two nonnegative regular matrix methods for single sequences, then I-statistical convergence and convergence
Connor Jeff
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APPLICATIONS OF MATRIX TRANSFORMATIONS TO ABSOLUTE SUMMABILITY [PDF]
, 2021 Rhoades and Sava¸s [6],[11] established necessary for inclusions of the absolute matrix summabilities under additional conditions. In this paper we determine necessary or su¢ cient conditions for some classes of in…nite matrices, and using this get ...
Sarigol, Mehmet Ali
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On the Banach algebra ℬ(lp(α))
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 60, Page 3187-3203, 2004., 2004 We give some properties of the Banach algebra of bounded operators ℬ(lp(α)) for 1 ≤ p ≤ ∞, where lp(α) = (1/α) −1∗lp. Then we deal with the continued fractions and give some properties of the operator Δh for h > 0 or integer greater than or equal to one mapping lp(α) into itself for p ≥ 1 real. These results extend, among other things, those concerning
Bruno de Malafosse
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THE SPACE Lq OF DOUBLE SEQUENCES [PDF]
, 2009 The spaces BS, BS(t), CSp, CSbp, CSr and BV of double sequences have recently been studied by Altay and Ba¸sar [J. Math. Anal. Appl. 309(1)(2005), 70–90].
Basar, Feyzi, Sever, Yurdal
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