Results 11 to 20 of about 39 (39)
Fractional Cesàro Matrix and its Associated Sequence Space
Concrete Operators, 2021 In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert ...
Roopaei H., İlkhan M.
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On the Domain of Nörlund Matrix in the Space of Bounded Variation Sequences [PDF]
Eurasian Journal of Science and Engineering, 2017 In this paper, we introduce a new sequence space bv(Nt) as the domain of Nörlund matrix Nt in the space of all sequences of bounded variation. Firstly, we give some topological properties and inclusion relations. Moreover, we determine the α-, β- and γ-
Orhan Tug
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Bounds of operators on the Hilbert sequence space
Concrete Operators, 2020 The author has computed the bounds of the Hilbert operator on some sequence spaces [18, 19]. Through this study the author has investigated the bounds of operators on the Hilbert sequence space and the present study is a complement of those previous ...
Roopaei Hadi
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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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A note on fractional difference operators
Alexandria Engineering Journal, 2018 In the present article, following on very recent and new approach of fractional difference operator by Baliarsingh (2016), we establish some new ideas involving the exponent rules of this operator.
P. Baliarsingh, L. Nayak
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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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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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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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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 28, Page 1783-1801, 2003., 2003 We characterize the spaces sα(Δ), sα∘(Δ), and sα(c)(Δ) and we deal with some sets generalizing the well‐known sets w0(λ), w∞(λ), w(λ), c0(λ), c∞(λ), and c(λ).
Bruno de Malafosse
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