Paranormed Sequence Space of Non-absolute Type Founded Using Generalized Difference Matrix

Autor: Murat Candan, Asuman Güneş
Rok vydání: 2015
Předmět:
Zdroj: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. 85:269-276
ISSN: 2250-1762
0369-8203
DOI: 10.1007/s40010-015-0204-6
Popis: The present paper introduces the generalized Riesz difference sequence space $$r^{q}(B_{u}^{p})$$ that consists of all sequences whose $$R_{u}^{q}B$$ -transforms are in the space $$\ell (p)$$ , where B stands for generalized difference matrix. Some topological properties of the new brand sequence space have been investigated as well as $$\alpha $$ - $$\beta $$ - and $$\gamma $$ -duals. In addition to this, we have also constructed the basis of $$r^{q}(B_{u}^{p})$$ . At the end of the article, we characterize a matrix class on the sequence space. These results are more general and more comprehensive than the corresponding results in the literature.
Databáze: OpenAIRE
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