从非牛顿微积分的角度看某些算子及其性质

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2017-12-20 DOI:10.1515/taa-2017-0008

E. Ünlüyol, Seren Salaş, I. Işcan

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引用次数: 2

摘要

微分和积分是微积分和分析的基本运算。事实上，它们分别是数字上的减法和加法运算的有限极小版本。从1967年到1970年，Michael Grossman和Robert Katz给出了一种新的导数和积分的定义，将减法和加法的作用分别转化为除法和乘法，从而建立了一种新型的微积分，称为非牛顿微积分。因此，本文从非牛顿微积分的角度对一些算子及其性质进行了新的研究。然后与牛顿微积分和非牛顿微积分进行比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks