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

Year 2017, Volume: 21 Issue: 6, 1529 - 1536, 01.12.2017

Gülsen Kılınç , Murat Candan

https://doi.org/10.16984/saufenbilder.321886

Cited By: 3

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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