SOME GENERALIZED FIBONACCI DIFFERENCE SPACES DEFINED BY A SEQUENCE OF MODULUS FUNCTIONS


KILINÇ G., CANDAN M.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.32, ss.95-115, 2017 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 32 Konu: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.22190/fumi1701095k
  • Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Sayfa Sayıları: ss.95-115

Özet

This paper submits the sequence space l ((F) over cap (r, s) , F, p, u) and l(infinity) ((F) over cap (r, s) , F, p, u) of non-absolute type under the domain of the matrix (F) over cap (r, s) constituted by using Fibonacci sequence and non-zero real number r, s and a sequence of modulus functions. We study some inclusion relations, topological and geometric properties of these spaceses. Further, we give the alpha- beta- and gamma-duals of said sequence spaces and characterization of the classes (l ((F) over cap (r, s) , F, p, u) , X) and (l(infinity) ((F) over cap (r, s) , F, p, u) , X).