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#### Asymptotically ... Statistical Equivalence of Double Sequences of Sets Defined by Modulus Functions

(III. InternationalCongress on Science and Education, 2019)

Statistical convergence and ideal convergence of real numbers, which are of great importance in the theory of summability, are studied by many mathematicians. Fast (1951) and Schoenberg (1959), independently, introduced ...

#### Lacunary statistical convergence of double sequences in fuzzy normed spaces

(2018)

In this paper, we introduce the concepts of lacunary summable, lacunary statistically convergence and lacunary statistically Cauchy sequence for double sequences in fuzzy normed spaces. Also, we investigate some properties ...

#### Lacunary invariant statistical convergence of double sequences of sets

(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 ...

#### A generalization of asymptotically I-lacunary statistical equivalence of sequences of sets

(Murat TOSUN, 2016)

This paper presents, for sequences of sets, generalize the concepts of Wijsman asymptotically strongly I-lacunary equivalence and Wijsman asymptotically strongly I-Cesàro equivalence by using p=(p_k) which is the sequence ...

#### Asymptotically I_2-lacunary statistical equivalence of double sequences of sets

(Ilirias Publications, 2016)

In this paper, we introduce the concepts of Wijsman asymptotically I_2-statistical equivalence, Wijsman strongly asymptotically I_2-lacunary equivalence and Wijsman asymptotically I_2-lacunary statistical equivalence of ...

#### Lacunary I_σ-convergence

(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 ...

#### Lacunary I_σ-asimptotik denklik

(Afyon Kocatepe Üniversitesi, 2017)

Bu çalışmada, reel sayı dizileri için lacunary I_σ-asimptotik denklik, lacunary σ-asimptotik denklik ve p-kuvvetli lacunary σ-asimptotik denklik kavramları tanımlandı. Ayrıca, bu yeni denklik kavramları arasındaki ilişkiler ...

#### Asymptotically I-Cesàro equivalence of sequences of sets

(Emrah Evren KARA, 2018)

In this paper, we deﬁned concepts of asymptotically I-Cesàro equivalence and investigate the relationships between the concepts of asymptotically strongly I-Cesàro equivalence, asymptotically strongly I-lacunary equivalence, ...

#### On asymptotically lacunary statistical equivalent set sequences

(Hindawi Publishing Corporation, 2013)

This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also ...

#### An extension of asymptotically lacunary statistical equivalence set sequences

(SpringerOpen, 2014)

This paper presents, for sequences of sets ,the notions of asymptotically lacunary statistical equivalence (in the sense of Wijsman) of multiplicity L, strongly asymptotically lacunary p-equivalence (in the sense of Wijsman) ...