|????̅,????????,????|(????) Toplanabilme Metodu ile İlgili Mutlak Toplanabilme Çarpanları

???? ve ???? iki toplanabilme metodu olmak üzere Σ????????, ???? toplanabilir iken Σ????????????????, ???? toplanabilir olacak şekildeki bütün ???? dizilerinin kümesi (????,????) ile gösterilir ve ???? dizisine toplanabilme çarpanı adı verilir. Bu çalışmada, (Gökçe ve Sarıgöl, 2018) tarafından verilen teoremler yardımıyla (|????̅,????????,????|(????),|????̅,????????|) ve (|????̅,????????,????|(????),|????̅,????????,????|(????)) toplanabilme çarpanları kümeleri karakterize edilmiştir. Ayrıca özel durumlarda, bilinen bazı sonuçlar elde edilmiştir.

Absolute Summability Factors Related to the Summability Method |N ̅,p_n,θ|(μ)

By (????,????), we denote the set of all sequences ???? such that Σ???????????????? is summable ???? whenever Σ???????? is summable ???? where ???? and ???? are two summability methods. In this study, applying the main theorems in (Gökçe and Sarıgöl, 2018) to summability factors, we characterize the sets (|????̅,????????,????|(????),|????̅,????????|) and (|????̅,????????,????|(????),|????̅,????????,????|(????)). Also, in the special case, we get some well-known results.

Keywords:

Absolute weighted summability, summability factors, matrix transformations sequence spaces,

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