Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-04
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We generalize the lacunary statistical convergence by introducing the generalized difference operator Δ ν α of fractional order, where α is a proper fraction and ν = ( ν k ) is any fixed sequence of nonzero real or complex numbers.
We study some properties of this operator and investigate the topological structures of related sequence spaces.
Furthermore, we introduce some properties of the strongly Cesaro difference sequence spaces of fractional order involving lacunary sequences and examine various inclusion relations of these spaces.
We also determine the relationship between lacunary statistical and strong Cesaro difference sequence spaces of fractional order.
American Psychological Association (APA)
Kadak, Uğur. 2015. Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1066222
Modern Language Association (MLA)
Kadak, Uğur. Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1066222
American Medical Association (AMA)
Kadak, Uğur. Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1066222
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1066222