Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1094.42004
Savaş, Ekrem; Patterson, Richard F.
On some double almost lacunary sequence spaces defined by Orlicz functions. (English)
[J] Filomat 19, 35-44 (2005). ISSN 0354-5180

The well-known concepts (with respect to an Orlicz function) almost convergence, convergence in the Pringsheim sense of double sequences of complex numbers, strong summability, and almost lacunary statistical convergence are combined to define some new sequence spaces. They generalize several sequence spaces that have extensively been studied in the past. The results are some basic set inclusions, and relations between the summability methods that arise in the context of the new spaces. The proofs use the standard methods and techniques, with the obvious modifications and adaptations, from the special cases.
[Eberhard Malkowsky (Niš)]

MSC 2000:: *42A55 Lacunary series
40C05 Matrix methods in summability

Keywords: double sequences; Orlicz functions; almost convergence; almost lacunary statistical convergence

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]