SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES |
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| Authors: | Murat KARAKAS Mikail ET Vatan KARAKA YA |
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| Affiliation: | [1]Department of Mathematics, Firat University, 23119, Elazig, Turkey [2]Department of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus,Esenler,Istanbul,Turkey |
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| 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 r ∈ ?. |
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| Keywords: | difference sequence space lacunary sequence k-NUC property rotundity Luxemburg norm |
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