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

• Volume: 5, Issue: 1, page 49-54
• ISSN: 2299-3231

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## Abstract

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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.

## How to cite

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Erdal Ünlüyol, Seren Salas, and Imdat Iscan. "A new view of some operators and their properties in terms of the Non-Newtonian Calculus." Topological Algebra and its Applications 5.1 (2017): 49-54. <http://eudml.org/doc/288343>.

@article{ErdalÜnlüyol2017,
abstract = {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.},
author = {Erdal Ünlüyol, Seren Salas, Imdat Iscan},
journal = {Topological Algebra and its Applications},
keywords = {Bounded operators; Hilbert space; Non-Newtonian Calculus},
language = {eng},
number = {1},
pages = {49-54},
title = {A new view of some operators and their properties in terms of the Non-Newtonian Calculus},
url = {http://eudml.org/doc/288343},
volume = {5},
year = {2017},
}

TY - JOUR
AU - Erdal Ünlüyol
AU - Seren Salas
AU - Imdat Iscan
TI - A new view of some operators and their properties in terms of the Non-Newtonian Calculus
JO - Topological Algebra and its Applications
PY - 2017
VL - 5
IS - 1
SP - 49
EP - 54
AB - 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.
LA - eng
KW - Bounded operators; Hilbert space; Non-Newtonian Calculus
UR - http://eudml.org/doc/288343
ER -

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