Some inequalities between functionals on bounded sequences

Orhan C.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.44, sa.2, ss.225-232, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1556/sscmath.2007.1015
  • Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.225-232
  • Anahtar Kelimeler: statistically convergent sequence, Knopp's core and the statistical core of a sequence, absolute equivalence, INFINITE MATRICES, BANACH LIMITS
  • Ankara Üniversitesi Adresli: Hayır

Özet

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.