Results 1 to 10 of about 4,367,826 (311)

Weighted almost convergence and related infinite matrices [PDF]

open access: yesJournal of Inequalities and Applications, 2018
The purpose of this paper is to introduce the notion of weighted almost convergence of a sequence and prove that this sequence endowed with the sup-norm ∥ ⋅ ∥ ∞ ${\Vert \cdot \Vert } _{\infty}$ is a BK-space. We also define the notions of weighted almost
Syed Abdul Mohiuddine, Abdullah Alotaibi
doaj   +3 more sources

On Absolutely Almost Convergence

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2014
In this paper, we study (Pn, s)-absolutely almost convergence where npn = 0(Pn) as n→ ∞,Pn = ∑n ν=0 pν and s > 0. We also give necessary and sufficient conditions for a summability matrix to be (λn, s)-absolutely almost conservative, and obtain some ...
H. Cakalli, Emine Iffet Taylan
semanticscholar   +3 more sources

Generalized Almost Convergence and Core Theorems of Double Sequences

open access: yesAbstract and Applied Analysis, 2014
The idea of [λ, μ]-almost convergence (briefly, F[λ, μ]-convergence) has been recently introduced and studied by Mohiuddine and Alotaibi (2014). In this paper first we define a norm on F[λ, μ] such that it is a Banach space and then we define and ...
S. A. Mohiuddine, Abdullah Alotaibi
doaj   +2 more sources

Almost λr-Statistical and Strongly Almost λr-Convergence of Order β of Sequences of Fuzzy Numbers

open access: yesJournal of Function Spaces, 2015
The main purpose of this article is to introduce the concepts of almost λr-statistical convergence and strongly almost λr-convergence of order β of sequences of fuzzy numbers with respect to an Orlicz function.
Mahmut Işık, Mikail Et
doaj   +2 more sources

Order summability and almost convergence [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
The object of this paper is to compare the summability methods of almost convergence and order summability. This is done by examining a method of summability which includes both methods. The main result is that every monotone Fourier effective matrix is strongly regular.
Howard T. Bell
semanticscholar   +3 more sources

Wavelets: convergence almost everywhere [PDF]

open access: yesMathematical communications, 1996
It has been proved in [7], using the Carleson-Hunt theorem on the pointwise convergence of Fourier series, that the wavelet inversion formula is valid pointwise for all L^p -functions, and also without restrictions on ...
H. Šikić
core   +5 more sources

On regular almost convergence [PDF]

open access: yesMathematical Communications, 1996
In this paper possible regularity definitions for almost convergent double sequences are considered as generalizations of the regular convergence in the sense of G. H. Hardy and F.Móricz. Classes of almost convergent sequences with almost convergent rows
D. Butković
core   +4 more sources

Consistency theorems for almost convergence [PDF]

open access: yesTransactions of the American Mathematical Society, 1974
G. Bennett, N. Kalton
semanticscholar   +3 more sources

Almost convergence of complex uncertain double sequences

open access: yesFilomat, 2021
Convergence of real sequences, as well as complex sequences are studied by B. Liu and X. Chen respectively in uncertain environment. In this treatise, we extend the study of almost convergence by introducing double sequences of complex uncertain ...
Birojit Das   +3 more
semanticscholar   +1 more source

On the Spaces of $\lambda _{r}$-almost Convergent and $\lambda _{r}$-almost Bounded Sequences [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
The aim of the present work is to introduce the concept of $\lambda _{r}$-almost convergence of sequences. We define the spaces $f\left( \lambda _{r}\right) $ and $f_{0}\left( \lambda _{r}\right) $ of $ \lambda _{r}$-almost convergent and $\lambda _{r ...
Sinan Ercan
doaj   +1 more source

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