SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES


Karakas M., Et M., KARAKAYA V.

ACTA MATHEMATICA SCIENTIA, cilt.33, ss.1711-1720, 2013 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 33 Konu: 6
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/s0252-9602(13)60117-4
  • Dergi Adı: ACTA MATHEMATICA SCIENTIA
  • Sayfa Sayısı: ss.1711-1720

Özet

In this paper, we define a new generalized difference sequence space involving lacunary sequence. Then, we examine k-NUC property and property (beta) for this space and also show that it is not rotund where p = (p(r)) is a bounded sequence of positive real numbers with p(r) >= 1 for all r is an element of N.