On bicomplex BC-modules <i>l<sub>p</sub><SUP>k</SUP></i> (BC) and some of their geometric properties

Değirmen N., Sağır Duyar B.

GEORGIAN MATHEMATICAL JOURNAL, cilt.30, sa.1, ss.65-79, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/gmj-2022-2194
  • Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.65-79
  • Anahtar Kelimeler: Bicomplex power, D-normed Banach bicomplex BC-module, BC-convexity, BC-strict convexity, BC-uniform convexity, SPACES
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we examine the validity of bicomplex versions of some crucial inequalities with respect to the hyperbolic-valued norm | center dot |l(k) and we discuss some topological and geometric concepts such as completeness, convexity, strict convexity and uniform convexity in the bicomplex setting with respect to the hyperbolic-valued norm. parallel to parallel to(D) by defining the concept of parallel to parallel to(D)-normed Banach bicomplex A-module and constructing..-normed Banach bicomplex BC-modules l(p)(k) (BC).