Results 11 to 20 of about 70 (66)
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
core +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
core +3 more sources
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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Some geometric properties of the metric space V[λ,p]
, 2013 In this study, we consider the space [InlineEquation not available: see fulltext.] with an invariant metric. Then, we examine some geometric properties of the linear metric space [InlineEquation not available: see fulltext.] such as property ...
Mikail Et +5 more
core +2 more sources
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
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
wiley +1 more source
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
Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function [PDF]
, 2014 In the present paper we introduce some multiplier sequence spaces over n-normed spaces defined by a Musielak–Orlicz function M = (Mk). We also study some topological properties and some inclusion relations between these spaces.
Sharma, Sunil K., Raj, Kuldip
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