Some inequalities between functionals related to Generalized limits

YURDAKADİM T., Orhan C.

Mathematical Reports, vol.19, no.2, pp.145-155, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 2
  • Publication Date: 2017
  • Journal Name: Mathematical Reports
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.145-155
  • Keywords: A-statistical convergence, Absolute equivalence, Knopp's and A-statistical core of a sequence
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

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.