On the Fundamental Theorem of (p, q)-Calculus and Some (p, q)-Taylor Formulas

被引：0
|
作者：
Sadjang, P. Njionou [1 ]
机构：
[1] Univ Douala, Fac Ind Engn, Douala, Cameroon
来源：
RESULTS IN MATHEMATICS | 2018年 / 73卷 / 01期
关键词：
(p; q)-Derivative; q)-integration; q)-Taylor formula; fundamental theorem; q)-integration by part;
D O I：
10.1007/s00025-018-0783-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the (p, q)-derivative and the (p, q)-integration are investigated. Two suitable polynomial bases for the (p, q)-derivative are provided and various properties of these bases are given. As application, two (p, q)-Taylor formulas for polynomials are given, the fundamental theorem of (p, q)-calculus is included and the formula of (p, q)-integration by part is proved.
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页数：21
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