Bu çalışmada, doğal sayılar kümesinin alt kümelerinin bir ailesi yardımıyla tanımlanmış olan ideal kavramı ile oluşturulmuş olan I-yakınsaklık kavramı ve daha sonra çalışılmış olan I-limit superior ve I-limit inferior ...

In 1932 R. P. Agnew present a definition for Deferred Ces`aro mean. Using this definition R. P. Agnew present inclusion theorems for the deferred and none Deferred Ces`aro means. This paper is part 2 of a series of papers ...

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 ...

D. Borwein characterized linear functionals on the normed linear spaces wp and Wp. In this paper we extend his results by presenting definitions for the double strong Cesaro mean. Using these new notions of strongly ...

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 ...

The four-dimensional summability methods of Euler and Borel are studied as mappings from absolutely convergent double sequences into themselves. Also some Tauberian results are proved.

In this paper, we show that a matrix that maps ℓ′′ into ℓ′′ can be obtained from any RH-regular matrix by the deletion of rows. Also a four dimensional conservative matrix can be obtained by the deletion of rows from a ...

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 ...

Several notions of convergence for subsets of metric space appear in the literature. In this paper we define lacunary statistical convergence for sequences of sets and study in detail the relationship between other convergence ...

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 ...