Results 21 to 30 of about 631 (73)
Ideal-quasi-Cauchy sequences [PDF]
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
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
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
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
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
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
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]
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
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
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

