Some inequalities between functionals on bounded sequences

Orhan C.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.44, no.2, pp.225-232, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 2
  • Publication Date: 2007
  • Doi Number: 10.1556/sscmath.2007.1015
  • Journal Name: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.225-232
  • Keywords: statistically convergent sequence, Knopp's core and the statistical core of a sequence, absolute equivalence, INFINITE MATRICES, BANACH LIMITS
  • Ankara University Affiliated: No

Abstract

Recall that the statistical core theorem determines a class of regular matrices for which lim sup Ax <= st-lim sup x for all x is an element of l(infinity). The main object of this paper is to study an inequality sharper than that of the statistical core theorem as well as to establish a relationship between the statistical core theorem and absolute equivalence.