Basics of diamond-α partial dynamic calculus on time scales

被引：10

作者：

Ozkan, Umut Mutlu ^{[2
]}

Kaymakcalan, Billur ^{[1
]}

机构：

[1] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA

[2] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, Afyon, Turkey

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 9-10期

关键词：

Partial diamond-alpha dynamic derivatives; Double diamond-alpha dynamic integrals; INEQUALITIES;

D O I：

10.1016/j.mcm.2009.01.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we introduce partial diamond-alpha dynamic derivatives for two-variable functions and the double integral calculus via the diamond-alpha dynamic integral on time scales. Also we establish a two-dimensional weighted Hardy-Knopp type integral inequality on time scales. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1253 / 1261

页数：9

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