On the Paranormed Binomial Sequence Spaces

DEMİRİZ S., Ellidokuzoglu H.

7th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), Kyiv, Ukraine, 28 - 31 August 2018, vol.2037 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2037
  • Doi Number: 10.1063/1.5078461
  • City: Kyiv
  • Country: Ukraine
  • Recep Tayyip Erdoğan University Affiliated: Yes


In this paper the sequence spaces b(o)(r,s) (p), b(c)(r,s) (p), b(o)(r,s) (p) and b(o)(r,s) (p) which are the generalization of the classical Maddox's paranormed sequence spaces have been introduced and proved that the spaces b(o)(r,s) (p), b(o)(r,s) (p), b(o)(r,s) Ap) and b(o)(r,s) (p) are linearly isomorphic to spaces co(p), c(p), too(p) and t(p), respectively. Besides this, the a,p and y duals of the spaces Yo' (p), b(o)(r,s) (p), and b"(p) have been computed, their bases have been constructed and some topological properties of these spaces have been studied. Finally, the classes of matrices (b'cr (p) :), (bnp) :) and (b"(p) :) have been characterized, where is one of the sequence spaces t,s, c and co and derives the other characterizations for the special cases of p.