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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
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Lacunary invariant statistical convergence of double sequences of sets [PDF]
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
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A Bregman-proximal point algorithm for robust non-negative matrix factorization with possible missing values and outliers - application to gene expression analysis. [PDF]
Chrétien S +6 more
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Lacunary statistical convergence of double sequences
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
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ON I-STATISTICAL AND I-LACUNARY STATISTICAL CONVERGENCE OF WEIGHT g
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
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Hydrolysis-based degradation of organophosphorus nerve agents and simulants: water/base-dependent reactivity, catalytic materials and life-cycle considerations. [PDF]
Kwak JW +8 more
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Weighted Lacunary Statistical Convergence
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Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü +2 more
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On lacunary ?-statistical convergence
Information Sciences, 2004The 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
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Lacunary statistical convergence of sequences of fuzzy numbers
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fatih Nuray
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On lacunary statistical convergence of order α
Acta Mathematica Scientia, 2014Abstract 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
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