Results 61 to 70 of about 161 (125)

Statistical convergence of order α in probability

Arab Journal of Mathematical Sciences, 2015
In this paper the ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order α in probability, strong p-Cesàro summability of order α in probability, lacunary statistical ...
Pratulananda Das, Sanjoy Ghosal, Sumit Som   +2 more
doaj   +1 more source

Characterizations of a Banach Space through the Strong Lacunary and the Lacunary Statistical Summabilities

Mathematics, 2020
In this manuscript we characterize the completeness of a normed space through the strong lacunary ( N θ ) and lacunary statistical convergence ( S θ ) of series. A new characterization of weakly unconditionally Cauchy series through N θ
Soledad Moreno-Pulido, Giuseppina Barbieri, Fernando León-Saavedra, Francisco Javier Pérez-Fernández, Antonio Sala-Pérez   +4 more
doaj   +1 more source

Lacunary strong A -convergence sequence spaces defined by a sequence of moduli

Kuwait Journal of Science, 2013
The definition of lacunary strong A-convergence to a modulus is extended to a definition of lacunary strong A -convergence with respect to a sequence of moduli.
AYHAN ESI
doaj  

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, S.A. Mohiuddine, Y. Altin, H. Koyunbakan   +3 more
doaj   +2 more sources

Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order

International Journal of Mathematics and Mathematical Sciences, 2015
We generalize the lacunary statistical convergence by introducing the generalized difference operator Δνα of fractional order, where α is a proper fraction and ν=(νk) is any fixed sequence of nonzero real or complex numbers.
Ugur Kadak
doaj   +1 more source

Riesz lacunary uniform integrability and statistical convergence via power series method

Journal of Inequalities and Applications
In this paper, the concepts of Riesz lacunary statistical convergence, Riesz lacunary strong convergence, and Riesz lacunary uniform integrability of real sequences within the framework of power series are introduced and studied.
Jun-Jie Quan, Devia Narrania, Kuldip Raj, Qing-Bo Cai   +3 more
doaj   +1 more source

f-lacunary statistical convergence in topological groups

Acta Scientiarum: Technology
In this study, we will define the concept of -lacunary statistical convergence in topological groups with the help of an unbounded modulus function.
Süleyman Sarikaya, Yavuz Altin
doaj   +1 more source

Lacunary statistical soft convergence in soft topology

Soft Computing
Abstract Statistical convergence and some related types of convergence are a generalisation of topological convergence. Similarly, soft set theory, introduced by Molodtsov to deal with uncertainty in various scientific fields, is a generalisation of the classical concept of sets.
Erdal Bayram, Melisa Dervisoglu
openaire   +3 more sources