After a brief summary of Tauberian conditions for ordinary sequences of numbers, we consider summability of double sequences of real or complex numbers by weighted meanmethods which are not necessarily products of related weighted mean methods in one variable. Our goal is to obtain Tauberian conditions under which convergence of a double sequence follows from its summability, where convergence ...

The author used the automatic proof procedure introduced in [16] and verified that the 4096 homomorphic recurrent double sequences with constant borders defined over Klein’s Vierergruppe K and the 4096 linear recurrent double sequences with constant border defined over the matrix ring M2(F2) can be also produced by systems of substitutions with finitely many rules. This permits the definition o...

Following the concepts of divergent rate preservation for ordinary sequences, we present a notion of rates preservation of divergent double sequences under l-l type transformations. Definitions for Pringsheim limit inferior and superior are also presented. These definitions and the notion of asymptotically equivalent double sequences, are used to present necessary and sufficient conditions on t...

Let Γ denote the spaces of all double entire sequences. Let Λ denote the spaces of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund double entire sequence space η ( Γ ) , Γ and also study some of the properties of η ( Γ ) and η ( Λ ) .

In this article, we introduce the notion of statistically pre-Cauchy double sequence of fuzzy numbers. Then we present a characterization of the class of bounded statistically pre-Cauchy double sequences of fuzzy numbers with the help of Orlicz function. Further, we present a characterization of the class of bounded statistically convergent double sequences of fuzzy numbers and linked with Cesà...

In 1900, Pringsheim gave a definition of the convergence of double sequences. In this paper, that notion is extended by presenting definitions for the limit inferior and limit superior of double sequences. Also the core of a double sequence is defined. By using these definitions and the notion of regularity for 4-dimensional matrices, extensions, and variations of the Knopp Core theorem are pro...

We define and study λ2-convergence of double sequences of interval numbers defined by Orlicz function and λ2-statistical convergence of double sequences of interval numbers. We also establish some inclusion relations between them.

This paper introduces a two-dimensional notion of palindrome for rectangular factors of double sequences: these palindromes are deened as centrosym-metric factors. This notion provides a characterization of two-dimensional Sturmian sequences in terms of two-dimensional palindromes, generalizing to double sequences the results in 12].

In the present study we introduce uniform statistical convergence for double sequences. We present a decomposition theorem that characterizes uniform statistical convergence for double sequences. 2000 Mathematics Subject Classification: 40B05; 40G15

The footprints remaining following somatic P-element excision from the Drosophila white locus were recovered and characterized. Two different types of footprints were observed. Over 75% of the footprints were short, composed of 4 or 7 nucleotides of the P-element inverted terminal repeat, and were similar to those found in a previously described plasmid excision assay. The remaining footprints ...