Spliced sequences and summability with a rate
Positivity, cilt.27, sa.1, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.1007/s11117-023-00970-0
- Dergi Adı: Positivity
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Business Source Elite, Business Source Premier, MathSciNet, zbMATH
- Anahtar Kelimeler: Density, Matrix summability, Spliced sequences, Statistical convergence
- Ankara Üniversitesi Adresli: Evet
Özet
In the paper we study the summability with a rate of o(an) of spliced sequences where a= (an) is a positive nonincreasing sequence, and show among other things that the A-limit with the rate of o(an) of spliced sequences may be expressed as a linear combination of A-densities with the rate of o(an) of the sets in the partition of positive integers.