Results 21 to 30 of about 631 (73)

Ideal-quasi-Cauchy sequences [PDF]

open access: yes, 2012
An ideal $I$ is a family of subsets of positive integers $\textbf{N}$ which is closed under taking finite unions and subsets of its elements.
Cakalli, Huseyin, Hazarika, Bipan
core   +2 more sources

Numerical studies of viscous incompressible flow between two rotating concentric spheres

open access: yesJournal of Applied Mathematics, Volume 2004, Issue 2, Page 91-106, 2004., 2004
The problem of determining the induced steady axially symmetric motion of an incompressible viscous fluid confined between two concentric spheres, with the outer sphere rotating with constant angular velocity and the inner sphere fixed, is numerically investigated for large Reynolds number.
E. O. Ifidon
wiley   +1 more source

Topological duals of some paranormed sequence spaces

open access: yesInternational 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

Some sequence spaces and statistical convergence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 303-306, 2002., 2002
We introduce the strongly (V, λ)‐convergent sequences and give the relation between strongly (V, λ)‐convergence and strongly (V, λ)‐convergence with respect to a modulus.
E. Savaş
wiley   +1 more source

Exponential inequalities for a class of operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 5, Page 283-290, 2002., 2002
Characterizations of weight pairs are proved for which weighted exponential‐logarithmic integral inequalities are satisfied. The results given contain characterizations of weights for which inequalities involving the Riemann‐Liouville and Laplace type operators hold.
Hans P. Heinig
wiley   +1 more source

Vector‐valued sequence spaces generated by infinite matrices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 547-560, 2001., 2001
Let A = (ank) be an infinite matrix with all ank ≥ 0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]∞((Ek)), [A,P]0((Ek)), and [A, P](E) which generalize almost all the existing sequence spaces, such as l∞, c0, c, lp, wp, and several others.
Nandita Rath
wiley   +1 more source

Ishikawa iteration process with errors for nonexpansive mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 413-417, 2001., 2001
We study the construction and the convergence of the Ishikawa iterative process with errors for nonexpansive mappings in uniformly convex Banach spaces. Some recent corresponding results are generalized.
Jialin Huang
wiley   +1 more source

Some properties of Banach‐valued sequence spaces ℓp[X]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 289-300, 2001., 2001
We discuss some properties of the Banach‐valued sequence space ℓp[X](1 ≤ p < ∞), the space of weakly p‐summable sequences on a Banach space X. For example, we characterize the reflexivity of ℓp[X], convergent sequences on ℓp[X], and compact subsets of ℓp[X].
Qingying Bu
wiley   +1 more source

The Abel‐type transformations into Gw

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 2, Page 103-109, 2001., 2001
The Abel‐type matrix Aα,t was introduced and studied as a mapping into ℓ by Lemma (1999). The purpose of this paper is to study these transformations as mappings into Gw. The necessary and sufficient conditions for Aα,t to be Gw‐Gw are established. The strength of Aα,t in the Gw‐Gw setting is investigated.
Mulatu Lemma, George Tessema
wiley   +1 more source

Dual pairs of sequence spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 1, Page 9-23, 2001., 2001
The paper aims to develop for sequence spaces E a general concept for reconciling certain results, for example inclusion theorems, concerning generalizations of the Köthe‐Toeplitz duals E×(×∈{α, β}) combined with dualities (E, G), G ⊂ E×, and the SAK‐property (weak sectional convergence).
Johann Boos, Toivo Leiger
wiley   +1 more source

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