Genelleştirilmiş ağırlıklı B-Fark ortalama metoduyla tanımlanan hemen hemen yakınsak dizi uzayları için farklı bir yaklaşım

Abstract

Bu çalışmada, B-fark matrisi ile genelleştirilmiş ağırlıklı ortalama metodu yardımıyla inşa edilen   ve  dizi uzaylarını tanımlandı. Bu uzaylar, genelleştirilmiş ağırlıklı -fark ortalamaları sırasıyla  ve  uzaylarında olan dizilerin uzayıdır.  ve  uzaylarının - ve -dualleri elde edildi. Ayrıca,  herhangi bir dizi uzayı olmak üzere  ve  sonsuz matrisleri karakterize edildi. 

Keywords

• matris dönüşümleri,dizi uzayları,bir dizi uzayının matris alanı,dual uzaylar

A different approach for almost sequence spaces defined by a generalized weighted means

Abstract

In this study, we introduce   and  sequence spaces which consisting of all the sequences whose generalized weighted -difference means are found in  and  spaces utilising generalized weighted mean and  -difference matrices. The -and the -duals of the spaces  and  are determined. At the same time, we have characterized the infinite matrices  and , where  is any given sequence space. 

Keywords

• matrix transformations,sequence spaces,matrix domain of a sequence space,dual spaces

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