Some new lacunary ff-statistical AA-convergent sequence spaces of order α\alpha

We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus function. Morever we also study some results on the newly defined lacunary $f$-statistically $A$-convergent sequence spaces with respect to some Musielak-Orlicz function.Comment: Conference paper. arXiv admin note: text overlap with arXiv:1506.0545

Asymptotically I_2-lacunary statistical equivalence of double sequences of sets

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 double sequences of sets and investigate the relationship between the

Asymptotically Lacunary I-Invariant statistical equivalence of sequences of sets defined by A modulus function

We investigate the notions of strongly asymptotically I-equivalence, f-asymptotically I-equivalence, strongly f-asymptotically I-equivalence and asymptotically I-statistical equivalence for sequences of sets. Also, we investigate some relationships among these concepts

Asymptotically lacunary statistical equivalence of double sequences of sets

The concepts of Wijsman asymptotically equivalence, Wijsman asymptotically statistically equivalence, Wijsman asymptotically lacunary equivalence and Wijsman asymptotically lacunary statistical equivalence for sequences of sets were studied by Ulusu and Nuray [24]. In this paper, we get analogous results for double sequences of sets

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. In 2000 Li presented the other side of the inclusion. In this paper we shall present a multidimensional analogue to the notion of refinement of lacunary sequences and use this definition to present both sides of the above inclusion theorem. In addition, we shall also present a notion of double lacunary statistically Cauchy and use this definition to establish that it is equivalent to the $S_{theta_{r,s}}$-P-convergence

Asymptotically lacunary I-invariant equivalence of sequences defined by A modulus function

In this paper, we introduce the concepts of strongly asymptotically lacunary ideal in- variant equivalence, f-asymptotically lacunary ideal invariant equivalence, strongly f-asymptotically lacunary ideal invariant equivalence and asymptotically lacunary ideal invariant statistical equiva- lence for sequences. Also, we investigate some relationships among them

On almost asymptotically lacunary statistical equivalence of sequences of sets

In this paper we study the concepts of Wijsman almost asymptotically statistical equivalent, Wijsman almost asymptotically lacunary statistical equivalent and Wijsman strongly almost asymptotically lacunary equivalent sequences of sets and investigate the relationship between the

Asymptotically I2-Ces`aro equivalence of double sequences of sets

In this paper, we defined concept of asymptotically I_2-Ces`aro equivalence and investigate the relationships between the concepts of asymptotically strongly I_2-Ces`aro equivalence, asymptotically strongly I_2-lacunary equivalence, asymptotically p-strongly I_2-Ces`aro equivalence and asymptotically I_2-statistical equivalence of double sequences of set