A new view of some operators and their properties in terms of the Non-Newtonian Calculus

• Autorzy: Erdal Ünlüyol , Seren Salas , Imdat Iscan
• Języki publikacji: EN

Abstrakty

EN

Differentiation and integration are basic operations of calculus and analysis. Indeed, they are in- finitesimal versions of substraction and addition operations on numbers, respectively. From 1967 till 1970 Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, converting the roles of substraction and addition into division and multiplication, respectively and thus established a new calculus, called Non-Newtonian Calculus. So in this paper, it is investigated to a new view of some operators and their properties in terms of Non-Newtonian Calculus. Then we compare with the Newtonian and Non-Newtonian Calculus.

Słowa kluczowe

EN

Bounded operators; Hilbert space; Non-Newtonian Calculus

Kategorie tematyczne

• 47S99: None of the above, but in this section
• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Topological Algebra and its Applications
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 49-54

Daty

wydano

2017-12-20

otrzymano

2017-07-14

zaakceptowano

2017-08-30

online

2017-12-29

Twórcy

autor

Erdal Ünlüyol

• ,

autor

Seren Salas

• ,

autor

Imdat Iscan

• ,

Identyfikatory

DOI

10.1515/taa-2017-0008