On Summability with a Rate of Spliced Sequences

GÜLFIRAT M.

Lobachevskii Journal of Mathematics, cilt.45, sa.4, ss.1581-1588, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1134/s1995080224601632
  • Dergi Adı: Lobachevskii Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.1581-1588
  • Anahtar Kelimeler: -core of a bounded sequence, -density, matrix summability, spliced sequences
  • Ankara Üniversitesi Adresli: Evet

Özet

Abstract: Given a positive nonincreasing sequence, we deal with the summability with a rate of of spliced sequences formed by bounded sequences, and we obtain a bounding interval for -core of the -transform of the spliced sequence with a rate of. In addition, we provide some inequalities for the limit superior and inferior of the -transform with a rate of of any bounded infinite splice via Lebesgue integral.