Results 1 to 10 of about 1,119 (137)
Some new lacunary statistical convergence with ideals [PDF]
Journal of Inequalities and Applications, 2017 In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
doaj +7 more sources
Application of f-lacunary statistical convergence to approximation theorems [PDF]
Journal of Inequalities and Applications, 2018 The concept of f-lacunary statistical convergence which is, in fact, a generalization of lacunary statistical convergence, has been introduced recently by Bhardwaj and Dhawan (Abstr. Appl. Anal. 2016:9365037, 2016).
Vinod K Bhardwaj, Shweta Dhawan
doaj +6 more sources
Density by moduli and Wijsman lacunary statistical convergence of sequences of sets [PDF]
Journal of Inequalities and Applications, 2017 The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
doaj +2 more sources
Density by Moduli and Lacunary Statistical Convergence [PDF]
Abstract and Applied Analysis, 2016 We have introduced and studied a new concept of f-lacunary statistical convergence, where f is an unbounded modulus. It is shown that, under certain conditions on a modulus f, the concepts of lacunary strong convergence with respect to a modulus f and f ...
Vinod K. Bhardwaj, Shweta Dhawan
doaj +4 more sources
Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we introduce and study the notion of rough I2 $\mathcal {I}_{2}$-lacunary statistical convergence of double sequences in normed linear spaces.
Ömer Kişi, Erdinç Dündar
doaj +2 more sources
Lacunary statistical convergence and inclusion properties between lacunary methods [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 A lacunary sequence is an increasing integer sequence θ={kr} such that kr−kr−1→∞ as r→∞. A sequence x is called sθ-convergent to L provided that for each ϵ>0, limr(1/(kr−kr−1)){the number of kr ...
Jinlu Li
doaj +3 more sources
New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences [PDF]
MathematicsThis paper explores the concepts of J-lacunary statistical limit points, J-lacunary statistical cluster points, and J-lacunary statistical Cauchy multiset sequences.
María C. Listán-García +2 more
doaj +3 more sources
Lacunary statistical convergence of double sequences [PDF]
Mathematical Communications, 2005 \textit{A. R. Freedman}, \textit{J. J. Sember} and \textit{M. Raphael} [Proc. Lond. Math. Soc., III. Ser. 37, 508--520 (1978; Zbl 0424.40008)] presented a definition for lacunary refinement as follows: \(\rho= \{\overline k_r\}\) is called a lacunary refinement of the lacunary sequence \(\theta= \{k_r\}\) if \(\{k_r\}\subseteq\{\overline k_r\}\).
Patterson, R. F., Savaş, E.
openaire +3 more sources
Uniform Lacunary Statistical Convergence on Time Scales
International Journal of Analysis and Applications, 2017 We introduce (θ,m)-uniform lacunary density of any set and (θ,m)-uniform lacunary statistical convergence on an arbitrary time scale. Moreover, (θ,m)-uniform strongly p-lacunary summability and some inclusion relations about these new concepts are also ...
E. Yilmaz +3 more
doaj +3 more sources
Lacunary Arithmetic Statistical Convergence [PDF]
National Academy Science Letters, 2020 A lacunary sequence is an increasing integer sequence $ =(k_r)$ such that $k_r-k_{r-1}\rightarrow \infty$ as $r\rightarrow \infty.$ In this article we introduce arithmetic statistically convergent sequence space $ASC$ and lacunary arithmetic statistically convergent sequence space $ASC_ $ and study some inclusion properties between the two spaces ...
Taja Yaying, Bipan Hazarika
openaire +2 more sources