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

Karakas, Murat; Et, Mikail; KARAKAYA, Vatan

doi:10.1016/s0252-9602(13)60117-4

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

Karakas M., Et M., KARAKAYA V.

ACTA MATHEMATICA SCIENTIA, cilt.33, sa.6, ss.1711-1720, 2013 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 33 Sayı: 6
Basım Tarihi: 2013
Doi Numarası: 10.1016/s0252-9602(13)60117-4
Dergi Adı: ACTA MATHEMATICA SCIENTIA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1711-1720
Anahtar Kelimeler: difference sequence space, lacunary sequence, k-NUC property, rotundity, Luxemburg norm, SUMMABILITY
Yıldız Teknik Üniversitesi Adresli: Evet

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.