Results 21 to 30 of about 673,038 (291)

The Hilbert Space of Double Fourier Coefficients for an Abstract Wiener Space

open access: yesMathematics, 2021
Fourier series is a well-established subject and widely applied in various fields. However, there is much less work on double Fourier coefficients in relation to spaces of general double sequences.
Jeong-Gyoo Kim
doaj   +1 more source

On paranormed type fuzzy I -convergent double multiplier sequences [PDF]

open access: yesKuwait Journal of Science, 2013
In this article, we introduce the classes of fuzzy real valued double sequences  and  , where   is a multiplier sequence of non-zero real numbers and   is a double sequence of bounded strictly positive numbers.
M. SEN, S. ROY
doaj   +1 more source

Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

open access: yesJournal of Mathematical Sciences and Modelling, 2019
In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double
Selma Altundağ, Bayram Sözbir
doaj   +1 more source

Double lacunary density and lacunary statistical convergence of double sequences [PDF]

open access: yes, 2009
In this paper, we have defined double lacunary density and investigated the relation between statistical and lacunary statistical convergence of double sequences.
Celal Çakan   +5 more
core   +1 more source

On I θ 2 $\mathcal{I}_{{\theta}_{2}}$ -convergence in fuzzy normed spaces

open access: yesJournal of Inequalities and Applications, 2020
In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces.
Muhammed Recai Türkmen
doaj   +1 more source

Generalized Fermat, double Fermat and Newton sequences [PDF]

open access: yes, 2003
In this paper, we discuss the relationship among the generalized Fermat, double Fermat, and Newton sequences. In particular, we show that every double Fermat sequence is a generalized Fermat sequence, and the set of generalized Fermat sequences, as well ...
Du, Bau-Sen   +5 more
core   +1 more source

Asymptotically double lacunry equivalent sequences defined by Orlicz functions

open access: yesActa Scientiarum: Technology, 2014
This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double ...
Ayhan Esi
doaj   +1 more source

Regularly ideal invariant convergence of double sequences

open access: yesJournal of Inequalities and Applications, 2021
In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
doaj   +1 more source

Double uniform density and corresponding convergence of double sequences [PDF]

open access: yes, 2012
We introduce the concept of double uniform density of subsets of and the study the corresponding convergence (namely, Iu-convergence) of double sequences. Further we solve an inequality related to the Iu-limit superior of bounded double sequences in line
Ekrem Savas   +3 more
core   +1 more source

Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions

open access: yesJournal of Mathematics, 2021
Based on the concept of lacunary statistical convergence of sequences of fuzzy numbers, the lacunary statistical convergence, uniformly lacunary statistical convergence, and equi-lacunary statistical convergence of double sequences of fuzzy-valued ...
Ömer Kişi
doaj   +1 more source

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