Results 61 to 70 of about 1,119 (137)
Riesz lacunary uniform integrability and statistical convergence via power series method
Journal of Inequalities and ApplicationsIn 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 +3 more
doaj +1 more source
Lacunary statistical convergence of multiple sequences
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savas, Ekrem, Patterson, Richard F.
openaire +3 more sources
Lacunary statistical summability of sequences of sets [PDF]
, 2015 In this paper we define the WS_θ-analog of the Cauchy criterion for convergence and show that it is equivalent to Wijsman lacunary statistical convergence.
Nuray, Fatih, Ulusu, Uğur
core
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
Statistical and lacunary statistical convergence of interval numbers in topological groups
Acta Scientiarum: Technology, 2014 In this paper we introduce the concepts of statistical and lacunary statistical convergence of interval numbers in topological groups. We prove some inclusion relations and study some of their properties.
Ayhan Esi
doaj +1 more source
Lacunary statistically \(\phi \)-convergence
, 2019 Summary: In this paper by using the lacunary sequence and Orlicz function \(\phi \), we introduce a new concept of lacunary statistically \(\phi \)-convergence, as a generalization of the statistical \(\phi\)-convergence and \(\phi\)-convergence. Based on this concepts, we introduce a new sequence space \( S_{\theta}-\phi\) and investigate some of its ...
Savas, Ekrem, Debnath, Shyamal
openaire +2 more sources
Uniform I-Lacunary statistical convergence on time scales
New Trends in Mathematical Science, 2018 [Abstract Not Available]
Kişi, Ömer, Güler, Erhan
openaire +2 more sources
ITM Web of Conferences, 2018 The notion of the α th order Δim - lacunary statistical convergence and α th order lacunary strongly (Δim, p)-summable sequences was introduced by Altınok et al. [1].
Et Mikail +2 more
doaj +1 more source
On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals
Abstract and Applied Analysis, 2013 Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Şençimen and Pehlivan, 2008) using ideals and introduce the ...
Pratulananda Das +3 more
doaj +1 more source
F-lacunary statistical convergence and strong f-lacunary summability of order α
Filomat, 2018 The main object of this article is to introduce the concepts of f-lacunary statistical convergence of order ? and strong f-lacunary summability of order ? of sequences of real numbers and give some inclusion relations between these spaces.
Şengül, Hacer, Et, Mikail
openaire +3 more sources