OPIAL-TYPE INEQUALITIES FOR TWO FUNCTIONS WITH GENERAL KERNELS AND APPLICATIONS

被引：4

作者：

Iqbal, Sajid ^{[1
]}

Pecaric, Josip ^{[2
]}

Samraiz, Muhammad ^{[3
]}

机构：

[1] Univ Sargodha, Dept Math, Bhakkar, Pakistan

[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

[3] Univ Sargodha, Dept Math, Sargodha, Pakistan

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2014年 / 8卷 / 04期

关键词：

Opial inequality; fractional derivatives; Widder derivatives; Green's function; linear differential operator; LINEAR-DIFFERENTIAL OPERATORS; HIGHER-ORDER DERIVATIVES; FRACTIONAL DERIVATIVES;

D O I：

10.7153/jmi-08-57

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish new Opial-type inequalities for general kernels. We prove the converse of our general result and related extreme case. As applications of our main results we extract the results of [12]. We provide the related applications for Widder's derivative and linear differential operator. At the end, we give the discrete analogue corresponding to our main results.

引用

页码：757 / 775

页数：19

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