Some Inequalities in Quasi-Banach Algebra of Non-Newtonian Bicomplex Numbers
FILOMAT, cilt.35, sa.7, ss.2231-2243, 2021 (SCI-Expanded, Scopus)
- 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.