Inclusion theorems for double lacunary sequence spaces
\textit{A. R. Freedman, J. J. Sember} and \textit{M. Raphael} [Proc. Lond. Math. Soc., III. Ser. 37, 508--520 (1978; Zbl 0424.40008)] introduced a definition of lacunary convergent sequences in Pringsheim sense and studied some Cesàro-type summability spaces related to these notions.
Petterson, Rf +2 more
core +4 more sources
A note on double lacunary statistical $$\sigma$$ -convergence of fuzzy numbers [PDF]
Quite recently, Savas, (Appl Math Lett 21: 134141, 2008), defined the lacunary statistical analogue for double sequence X - {X-k,X-l} of fuzzy numbers as follows: a double sequence X = {X-k,X-l} is said to be lacunary P- statistically convergent to X0 ...
Ekrem Savas, Savas Ekrem
exaly +2 more sources
Related searches:
Lacunary Convergence of Double Sequences of Complex Uncertain Variables
Journal of Uncertain Systems, 2021In this paper, we introduce the notion of lacunary convergence for double sequences of complex uncertain variables. We have established the relation between lacunary convergence and strong Cesàro convergence. Also, we have established the relation between different concepts of lacunary convergence of double sequences of complex uncertain variables.
Pranab Jyoti Dowari +1 more
openaire +1 more source
Double lacunary density and lacunary statistical convergence of double sequences
Studia Scientiarum Mathematicarum Hungarica, 2010In this paper, we have defined double lacunary density and investigated the relation between statistical and lacunary statistical convergence of double sequences. Also, we have solved an inequality related to the lacunary statistical limit superior of real bounded double sequences.
Celal Çakan +2 more
openaire +1 more source
On lacunary statistical convergence of double sequences in credibility theory
International Journal of General Systems, 2023In 1951, the notion of statistical convergence was a more general concept than the idea of convergence as by presented by Fast. Since then statistical convergence has been was investigated by more and more researchers. On the other hand, in 2006 Li has began the survey of credibility theory and presented some convergence concepts in credibility theory.
Rabia Savas, Mehmet Gürdal
openaire +2 more sources
On the Lacunary (A, φ)-Statistical Convergence of Double Sequences
Ukrainian Mathematical Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
On asymptotically lacunary statistical equivalent of order α˜ of difference double sequences
Mathematical Methods in the Applied Sciences, 2021In this article, we introduce and investigate the concepts of ‐asymptotically statistical equivalent of order and strong ‐asymptotically equivalent of order of double sequences. Also, we give some relationships related to these concepts.
Mikail Et +2 more
openaire +2 more sources
Orlicz-lacunary convergent double sequences and their applications to statistical convergence
2022Summary: In this article, we introduce and study Orlicz lacunary convergent double sequences over \(n\)-normed spaces. We define the notion of \(g_2\)-statistical convergence in double sequence spaces. We study some topological and algebraic properties of newly formed sequence spaces. Some inclusion relations are also establish in this paper.
Raj, Kuldip +2 more
openaire +2 more sources
DENSITY BY MODULI AND LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES
2023In this paper, we introduced and studied the concept of lacunary statistical convergence of double sequence with respect to modulus function where the modulus function is an unbounded double sequence. We also introduced the concept of lacunary strong convergence of double sequence via modulus function.
A.G.K. Ali , A.M. Brono , A. Masha
openaire +1 more source
Lacunary ideal convergent double sequences of fuzzy real numbers
Journal of Intelligent & Fuzzy Systems, 2014In this article, the concept of lacunary ideal convergent double sequences of fuzzy numbers have been introduced. Also the relation between lacunary ideal convergent and lacunary ideal Cauchy double sequences of fuzzy numbers have been established.
openaire +1 more source

