Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3431
Abstract
Inequalities are frequently used in various fields of mathematics to prove theorems. The existence of inequalities contributes significantly to the foundations of such branches. In this paper, we study the properties of order relations in the system of dual numbers, which is inspired by order relations defined on real numbers. Besides, some special inequalities that are used in various fields of mathematics, such as Cauchy-Schwarz, Minkowski, and Chebyshev are studied in this framework. An example is also provided to validate our research findings.
Keywords
Dual numbers, dual absolute value, dual inequalities, dual norm
First Page
1318
Last Page
1334
Recommended Citation
AKTAŞ, BUŞRA; DURMAZ, OLGUN; and GÜNDOĞAN, HALİT
(2023)
"The inequalities on dual numbers and their topological structures,"
Turkish Journal of Mathematics: Vol. 47:
No.
5, Article 2.
https://doi.org/10.55730/1300-0098.3431
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss5/2
