Results 11 to 20 of about 75 (75)
A study on q-analogue of Catalan sequence spaces [PDF]
, 2023 In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0 (C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively.
Merve Kara +7 more
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Monotone ODE with Discontinuous Vector Fields in Sequence Spaces
, 2022 We consider a system of ODE in a Fr\'echet space with unconditional Schauder basis. The right side of the ODE is a discontinuous function. Under certain monotonicity conditions we prove an existence theorem for the corresponding initial value problem ...
Oleg Zubelevich
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Calculations on some sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 31, Page 1653-1670, 2004., 2004 We deal with space of sequences generalizing the well‐known spaces w∞p(λ), c∞(λ, μ), replacing the operators C(λ) and Δ(μ) by their transposes. We get generalizations of results concerning the strong matrix domain of an infinite matrix A.
Bruno de Malafosse
wiley +1 more source
Operators commuting with the shift on sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 43, Page 2273-2278, 2004., 2004 A complete characterization of shift‐invariant operators that are isomorphisms is given in certain sequence spaces. Also given is a sufficient condition for an operator commuting with a shift‐invariant operator to be shift invariant.
J. Prada
wiley +1 more source
On pointwise and uniform statistical convergence of order α for sequences of functions [PDF]
, 2013 In this paper, we introduce the concepts of pointwise and uniform statistical convergence of order ? for sequences of real-valued functions. Furthermore, we give the concept of an ?-statistically Cauchy sequence for sequences of real-valued functions and
Çınar, Muhammed +2 more
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The Orlicz space of entire sequences
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 68, Page 3755-3764, 2004., 2004 Let Γ denote the space of all entire sequences and ∧ the space of all analytic sequences. This paper is devoted to the study of the general properties of Orlicz space ΓM of Γ.
K. Chandrasekhara Rao, N. Subramanian
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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
wiley +1 more source
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
wiley +1 more source
Topological duals of some paranormed sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1883-1897, 2003., 2003 Let P = (pk) be a bounded positive sequence and let A = (ank) be an infinite matrix with all ank ≥ 0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A, P] ∞((Ek)), [A, P] 0((Ek)), and [A, P]((E)), which generalise almost all the well‐known sequence spaces such as c0, c, lp, l∞, and wp.
Nandita Rath
wiley +1 more source
Matrix mappings and norms on the absolute Cesàro and weighted spaces
, 2020 In this paper, for α > -1 and k ≥ 1, we characterize the classes of all infinite matrices (|Cα|k, |Nup|), (|Cα|, |Nup|k), (|Nup|k, |Cα|) and (|Nup|k, |Cα|k), where the absolute spaces |Cα|k and |Nup|k are defined by Sarıgöl [22 - 24].
Güleç, Güllü Canan Hazar +2 more
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