Summability Theory And Its Applications

Double Sequences

Author(s): Feyzi Basar

Pp: 277-314 (38)

DOI: 10.2174/978160805452311201010277

* (Excluding Mailing and Handling)


In this chapter, the fundamental results on double sequences and related topics are given. In particular, the concept of convergence of double series in the Pringsheim's sense is defined, certain spaces of double sequences are introduced, and their α-,fi β-, duals are determined. Additionally, some classes of four dimensional matrices are characterized.

Keywords: Double sequence, convergence of a double sequence in the Pringsheim's sense, boundedness of a double sequence, regular convergence of a double sequence, Pringsheim, regular, bounded and absoolute convergence of a doubla series, Silverman-Toeplitz and Steinhaus theorems for double sequences, convergence tests for double series, Cauchy product of double series, α-, β-, duals of a space of double sequences, characterization of some classes of four dimensional matrices.

Related Books
© 2024 Bentham Science Publishers | Privacy Policy