Araştırma Makalesi
BibTex RIS Kaynak Göster

Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁)

Yıl 2019, Cilt: 9 Sayı: 3, 1606 - 1611, 01.09.2019
https://doi.org/10.21597/jist.507772

Öz

By (𝐴,𝐵), we denote the set of all sequences 𝜖 such that Σ𝑎𝑛𝜖𝑛 is summable 𝐵 whenever Σ𝑎𝑛 is summable 𝐴 where 𝐴 and 𝐵 are two summability methods. In this study, applying the main theorems in (Gökçe and Sarıgöl, 2018) to summability factors, we characterize the sets (|𝑁̅,𝑝𝑛,𝜃|(𝜇),|𝑁̅,𝑞𝑛|) and (|𝑁̅,𝑝𝑛,𝜃|(𝜇),|𝑁̅,𝑞𝑛,𝜓|(𝜆)). Also, in the special case, we get some well-known results.

Kaynakça

  • Gökçe F, Sarıgöl M A, 2018. A new series space |N ̅_P^θ |(μ) and matrix transformations with applications. Kuwait Journal of Science, 45(4): 1-8.
  • Grosse-Erdmann KG, 1993. Matrix transformations between the sequence spaces of Maddox. Journal of Mathematical Analysis and Applications, 180(1): 223-238.
  • Mitrinovic DS, 1970. Analytic Inequalties. Springer-Verlag, Berlin.
  • Orhan C, Sarıgöl MA, 1993. On absolute weighted mean summability. The Rocky Mountain Journal of Mathematics, 23(3): 1091-1097.
  • Sarıgöl MA, 2016. Norms and compactness of operators on absolute weighted mean summable series. Kuwait Journal of Science, 43(4): 68-74.
  • Sarıgöl MA, 2013. An inequality for matrix operators and its applications. Journal of Classical Analysis, 2(2): 145-150.
  • Sarıgöl MA, 2011. Matrix transformatins on fields of absolute weighted mean summability. Studia Scientiarum Mathematicarum Hungarica, 48(3): 331-341.
  • Sarıgöl MA, Bor H, 1995. Characterization of absolute summability factors. Journal of Mathematical Analysis and Applications, 195 (2): 537-545.

|𝑵̅, 𝒑𝒏, 𝜽|(𝝁) Toplanabilme Metodu ile İlgili Mutlak Toplanabilme Çarpanları

Yıl 2019, Cilt: 9 Sayı: 3, 1606 - 1611, 01.09.2019
https://doi.org/10.21597/jist.507772

Öz

𝐴 ve 𝐵 iki toplanabilme metodu olmak üzere Σ𝑎𝑛, 𝐴 toplanabilir iken Σ𝑎𝑛𝜖𝑛, 𝐵 toplanabilir olacak şekildeki bütün 𝜖 dizilerinin kümesi (𝐴,𝐵) ile gösterilir ve 𝜖 dizisine toplanabilme çarpanı adı verilir. Bu çalışmada, (Gökçe ve Sarıgöl, 2018) tarafından verilen teoremler yardımıyla (|𝑁̅,𝑝𝑛,𝜃|(𝜇),|𝑁̅,𝑞𝑛|) ve (|𝑁̅,𝑝𝑛,𝜃|(𝜇),|𝑁̅,𝑞𝑛,𝜑|(𝜆)) toplanabilme çarpanları kümeleri karakterize edilmiştir. Ayrıca özel durumlarda, bilinen bazı sonuçlar elde edilmiştir.

Kaynakça

  • Gökçe F, Sarıgöl M A, 2018. A new series space |N ̅_P^θ |(μ) and matrix transformations with applications. Kuwait Journal of Science, 45(4): 1-8.
  • Grosse-Erdmann KG, 1993. Matrix transformations between the sequence spaces of Maddox. Journal of Mathematical Analysis and Applications, 180(1): 223-238.
  • Mitrinovic DS, 1970. Analytic Inequalties. Springer-Verlag, Berlin.
  • Orhan C, Sarıgöl MA, 1993. On absolute weighted mean summability. The Rocky Mountain Journal of Mathematics, 23(3): 1091-1097.
  • Sarıgöl MA, 2016. Norms and compactness of operators on absolute weighted mean summable series. Kuwait Journal of Science, 43(4): 68-74.
  • Sarıgöl MA, 2013. An inequality for matrix operators and its applications. Journal of Classical Analysis, 2(2): 145-150.
  • Sarıgöl MA, 2011. Matrix transformatins on fields of absolute weighted mean summability. Studia Scientiarum Mathematicarum Hungarica, 48(3): 331-341.
  • Sarıgöl MA, Bor H, 1995. Characterization of absolute summability factors. Journal of Mathematical Analysis and Applications, 195 (2): 537-545.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik / Mathematics
Yazarlar

Fadime Gökçe 0000-0003-1819-3317

Yayımlanma Tarihi 1 Eylül 2019
Gönderilme Tarihi 3 Ocak 2019
Kabul Tarihi 27 Mart 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 9 Sayı: 3

Kaynak Göster

APA Gökçe, F. (2019). Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁). Journal of the Institute of Science and Technology, 9(3), 1606-1611. https://doi.org/10.21597/jist.507772
AMA Gökçe F. Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁). Iğdır Üniv. Fen Bil Enst. Der. Eylül 2019;9(3):1606-1611. doi:10.21597/jist.507772
Chicago Gökçe, Fadime. “Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁)”. Journal of the Institute of Science and Technology 9, sy. 3 (Eylül 2019): 1606-11. https://doi.org/10.21597/jist.507772.
EndNote Gökçe F (01 Eylül 2019) Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁). Journal of the Institute of Science and Technology 9 3 1606–1611.
IEEE F. Gökçe, “Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁)”, Iğdır Üniv. Fen Bil Enst. Der., c. 9, sy. 3, ss. 1606–1611, 2019, doi: 10.21597/jist.507772.
ISNAD Gökçe, Fadime. “Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁)”. Journal of the Institute of Science and Technology 9/3 (Eylül 2019), 1606-1611. https://doi.org/10.21597/jist.507772.
JAMA Gökçe F. Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁). Iğdır Üniv. Fen Bil Enst. Der. 2019;9:1606–1611.
MLA Gökçe, Fadime. “Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁)”. Journal of the Institute of Science and Technology, c. 9, sy. 3, 2019, ss. 1606-11, doi:10.21597/jist.507772.
Vancouver Gökçe F. Absolute Summability Factors Related to the Summability Method |𝑵̅,𝒑𝒏, 𝜽|(𝝁). Iğdır Üniv. Fen Bil Enst. Der. 2019;9(3):1606-11.