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.
@article{bwmeta1.element.doi-10_1515_taa-2017-0008,
author = {Erdal \"Unl\"uyol and Seren Salas and Imdat Iscan},
title = {A new view of some operators and their properties in terms of the Non-Newtonian Calculus},
journal = {Topological Algebra and its Applications},
volume = {5},
year = {2017},
pages = {49-54},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_taa-2017-0008}
}
Erdal Ünlüyol; Seren Salas; Imdat Iscan. A new view of some operators and their properties in terms of the Non-Newtonian Calculus. Topological Algebra and its Applications, Tome 5 (2017) pp. 49-54. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_taa-2017-0008/