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

Erdal Ünlüyol; Seren Salas; Imdat Iscan

Topological Algebra and its Applications (2017)

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

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topErdal 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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