Results 121 to 130 of about 3,256,623 (144)

Lacunary I_σ-convergence

open access: yes, 2016
In this study, the concept of lacunary invariant uniform density of any subset A of the set N of positive integers is defined. Associate with this, the concept of lacunary I-invariant convergence for real number sequences is given.
Nuray, Fatih, Ulusu, Uğur
core   +1 more source

Lacunary invariant statistical convergence of double sequences of sets [PDF]

open access: yes, 2019
In this paper, we introduce the concepts of Wijsman invariant convergence, Wijsman invariant statistical convergence, Wijsman lacunary invariant convergence, Wijsman lacunary invariant statistical convergence for double sequences of sets.
Nuray, Fatih, Ulusu, Uğur
core  

Lacunary statistical convergence of double sequences

open access: yesMathematical Communications, 2005
In 1978 Freedman, Sember, and Raphael presented a definition for lacunary refinement as follows: $\rho=\{\bar{k}_{r}\}$ is called a lacunary refinement of the lacunary sequence $\theta =\{k_{r}\}$ if $\{k_{r}\}\subseteq \{\bar{k}_{r}\}$. They use this definition to present one side inclusion theorem with respect to the refined and non refined sequence.
Patterson, Richard F., Savaş, Ekrem
openaire   +2 more sources

ON I-STATISTICAL AND I-LACUNARY STATISTICAL CONVERGENCE OF WEIGHT g

open access: yes, 2019
In this paper, following a very recent and new approach of [1], we further generalize recently introduced summability methods in [6] (where ideals of N were used to extend certain important summability methods) and introduce new notions, namely, I-statistical convergence of weight g and I-lacunary statistical convergence of weight g, where g : N -> [0,
Savas, Ekrem, Das, Pratulananda
openaire   +2 more sources

Weighted Lacunary Statistical Convergence

open access: yesIranian Journal of Science and Technology, Transactions A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü   +2 more
openaire   +4 more sources

On lacunary ?-statistical convergence

Information Sciences, 2004
The purpose of this paper is to introduce two new spaces and also to define stσ and stθσ of strongly σ-statistically convergent and lacunary strongly σ-statistically convergent sequences, respectively. Also, we give some inclusion relations involving these spaces.
Vatan Karakaya
exaly   +3 more sources

Lacunary statistical convergence of sequences of fuzzy numbers

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fatih Nuray
exaly   +3 more sources

On lacunary statistical convergence of order α

Acta Mathematica Scientia, 2014
Abstract In this article, we introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of lacunary statistical convergence of order α and strong Nθα(p)-summability. Furthermore, some relations between the spaces Nθα Sθα are examined.
Hacer Sengül
exaly   +2 more sources

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