Some Inequalities in Quasi-Banach Algebra of Non-Newtonian Bicomplex Numbers

Sager N., Sağır Duyar B.

FILOMAT, cilt.35, sa.7, ss.2231-2243, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.2298/fil2107231s
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.2231-2243
  • Anahtar Kelimeler: calculus, non-Newtonian complex number, bicomplex number, Holder's inequlity, Minkowski's inequality, quasi-Banach algebra
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we construct the quasi-Banach algebra BC (N) of non-Newtonian bicomplex numbers and we generalize some topological concepts and inequalities as Schwarz's, Holder's and Minkowski's in the set of bicomplex numbers in the sense of non-Newtonian calculus.