Some inequalities between functionals related to Generalized limits

YURDAKADİM T., Orhan C.

Mathematical Reports, cilt.19, sa.2, ss.145-155, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2017
  • Dergi Adı: Mathematical Reports
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.145-155
  • Anahtar Kelimeler: A-statistical convergence, Absolute equivalence, Knopp's and A-statistical core of a sequence
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

Recall that A-statistical core theorem determines a class of regular matrices for which lim sup(Tx) ≤ st A - lim sup x for all x ∈ m. The main object of this paper is to study an inequality between functionals which is sharper than that of the A-statistical core theorem. We also study the relationship between these functionals and some generalized limits which are called SA-limits and A-Banach limits.