Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (6): 1711-1720.doi: 10.1016/S0252-9602(13)60117-4

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

Murat KARAKAS|Mikail ET|Vatan KARAKAYA   

  1. Department of Mathematics, Firat University, 23119, Elazig, Turkey; Department of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul, Turkey
  • Received:2012-04-16 Revised:2013-04-03 Online:2013-11-20 Published:2013-11-20

Abstract:

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

Key words: difference sequence space, lacunary sequence, k-NUC property, rotundity, Luxemburg norm

CLC Number: 

  • 40A05
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