Results 11 to 20 of about 673,038 (291)

e-core of double sequences [PDF]

open access: yesActa Mathematica Hungarica, 2014
Boos, Leiger and Zeller [1,2] defined the concept of e-convergence. In this paper we introduce the concepts of e-limit superior and inferior for real double sequences and prove some fundamental properties of e-limit superior and inferior. In addition to these results we define e-core for double sequences. Also, we show that that if A is a nonnegative \(
Sever, Yurdal, Talo, Özer
openaire   +5 more sources

Double Sequences and Limits [PDF]

open access: yesFormalized Mathematics, 2013
Summary Double sequences are important extension of the ordinary notion of a sequence. In this article we formalized three types of limits of double sequences and the theory of these limits.
Noboru Endou   +2 more
openaire   +5 more sources

On a New Space of Double Sequences [PDF]

open access: yesJournal of Function Spaces and Applications, 2013
We introduce a new space of double sequences related to -absolute convergent double sequence space, combining an Orlicz function and an infinity double matrix. We study some properties of and obtain some inclusion relations involving .
Cenap Duyar, Oğuz Oğur
doaj   +2 more sources

On regularly generated double sequences [PDF]

open access: yesFilomat, 2017
In this paper, we introduce regularly generated sequences for double sequence of real numbers, and obtain some Tauberian theorems for (C; 1; 1) summability method using the concept of regularly generated sequence.
Totur, Umit, Canak, Ibrahim
openaire   +4 more sources

Asymptotic equivalence of double sequences [PDF]

open access: yes, 2012
The goal of this paper is to present a four-dimensional matrix characterization of asymptotic equivalence of double sequences. This will be accomplished with the following notion of asymptotic equivalence of double sequences. Two double sequences are asymptotic equivalent if and only if P − limk,l xk,l yk,l = 1, where x and y are selected judicially ...
Patterson, Richard F., Savas, Ekrem
core   +5 more sources

STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES IN NEUTROSOPHIC 2-NORMED SPACES [PDF]

open access: yesUral Mathematical Journal
In this paper, we have studied the notion of statistical convergence for double sequences in neutrosophic 2-normed spaces. Also, we have defined statistically Cauchy double sequences and statistically completeness for double sequences and investigated ...
Rahul Mondal, Nesar Hossain
doaj   +3 more sources

Double Sequences and Double Series [PDF]

open access: yes, 2006
This research considers two traditional important questions, which are interesting, at least to most mathematicians. The first question arises in the theory of double sequences of complex numbers, which concerns the relationship, if any, between the following three limits of a double sequence s : N×N ...
Habil, Eissa D.
openaire   +2 more sources

The double x sequences [PDF]

open access: yes, 2010
Let denote the space of all double entire sequence. Let 2 denote the space of all double analytic sequences, let x2 denote the space of all double x sequences. This paper is devoted to a study of the general properties of x2.
Subramanian, N.
openaire   +2 more sources

A pair of rational double sequences [PDF]

open access: yes, 2022
Double sequences appear in a natural way in cases of iteratively given sequences if the iteration allows to determine besides the successors from the predecessors also the predecessors from their followers.
Begehr, Heinrich, Altynbek, Serik
core   +1 more source

(λ, μ)$-uniformly distributed double sequences [PDF]

open access: yes, 2022
In this paper, we introduce and study (?, ?)-uniformly distributed and (?, ?)-well distributed double sequences. We also define the concept of A-uniformly distributed double sequence.
Fatih Nuray, Nuray, Fati?h
core   +3 more sources

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