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

Sager N., Sağır Duyar B.

FILOMAT, vol.35, no.7, pp.2231-2243, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.2298/fil2107231s
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.2231-2243
  • Keywords: calculus, non-Newtonian complex number, bicomplex number, Holder's inequlity, Minkowski's inequality, quasi-Banach algebra
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.