Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order

Author

Kadak, Uğur

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

Mathematics

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