RUANG BARISAN YANG DIBANGKITKAN OLEH FUNGSI ORLICZ

Main Authors: , NUR KHUSNUSSA'ADAH, , Dr. Supama
Format: Thesis NonPeerReviewed
Terbitan: [Yogyakarta] : Universitas Gadjah Mada , 2011
Subjects:
ETD
Online Access: https://repository.ugm.ac.id/88331/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=50509
Daftar Isi:
  • In this thesis, we study some properties of ô���Φ as one of sequence spaces generated by an Orlicz function Φ . We show that there is a relation between convergence and Φ -convergence as well as a relation between Cauchy sequence and Φ -Cauchy sequence. Because of the relation, we obtained that ô���Φ is a Banach space and a Φ -complete space. We also show a representation of continuous linear functionals on ô���Φ spaces .