Approximation theory in 2-Banach spaces

Guerdal M., ŞAHİNER A., Acik I.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.71, ss.1654-1661, 2009 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.na.2009.01.030
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1654-1661
  • Anahtar Kelimeler: Convergence, Cauchy sequence, 2-Banach space, T-convergence, Approximation, CONVERGENCE, SEQUENCES
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In order to study the approximation theory in 2-Banach spaces, we define the concept of T-convergence by means of a sequence of linear operators in 2-Banach spaces, and we get some results by imposing the stability and approximation conditions on linear operators. Further, we consider some applications related to the subject. (C) 2009 Elsevier Ltd. All rights reserved.