Article detail · 2014
On some spaces of lacunary convergent sequences derived by Nörlund type mean and weighted lacunary statistical convergence
- Year
- 2014
- Type
- article
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- YÖKSİS YÖKSİS article record
- YÖKSİS venue Arab Journal of Mathematical Sciences
- Catalog match (ISSN) Arab Journal of Mathematical Sciences
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
In this paper, we define some new sequence spaces of lacunary convergent sequences derived by Nörlund-type (Riesz) mean, which shall be denoted by |N‾,pr,θ| and (N‾,pr,θ), and investigate some relations between the sequence space |N‾,pr,θ| with the spaces ∣wθ∣ and |N‾,pn|. Further, we define a new concept, named weighted lacunary statistical convergence and examine some connections between this notion with the concept of lacunary statistical convergence and weighted statistical convergence. Also, some topological properties of these new sequence spaces are investigated.
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Citations
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7 citations
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7 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- On some spaces of almost lacunary convergent sequences derived by Riesz mean and weighted almost lacunary statistical convergence in a real n normed space 2014
- On some spaces of almost lacunary convergent sequences derived by Riesz mean and weighted almost lacunary statistical convergence in a real n normed space 2014
- Weighted lacunary statistical convergence in locally solid Riesz spaces 2014
- Weighted lacunary statistical convergence in locally solid Riesz spaces 2014
- Weighted Lacunary Statistical Convergence 2017
- RIESZ LACUNARY ALMOST CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS 2016
- Weighted lacunary statistical convergence of double sequences in locally solid Riesz spaces 2016