Symmetric differentiation on time scales

被引：27

作者：

Brito da Cruz, Artur M. C. ^{[1
,2
,3
]}

Martins, Natalia ^{[1
,2
]}

Torres, Delfim F. M. ^{[1
,2
]}

机构：

[1] Univ Aveiro, Res Ctr, P-3810193 Aveiro, Portugal

[2] Univ Aveiro, Dev Math & Applicat, P-3810193 Aveiro, Portugal

[3] Escola Super Tecnol Setubal, P-2910761 Estefanilha, Setubal, Portugal

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 02期

关键词：

Symmetric derivative; Quantum calculus; Time scales;

D O I：

10.1016/j.aml.2012.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define a symmetric derivative on an arbitrary nonempty closed subset of the real numbers and derive some of its properties. It is shown that real-valued functions defined On time scales that are neither delta nor nabla differentiable can be symmetric differentiable. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：264 / 269

页数：6

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