INEQUALITIES SIMILAR TO OPIAL'S INEQUALITY INVOLVING HIGHER ORDER DERIVATIVES

被引：0
|
作者：
Pachpatte, B. G.
机构：
[1] Aurangabad 431 001, (Maharashtra), Near Abhinay Talkies
来源：
TAMKANG JOURNAL OF MATHEMATICS | 2005年 / 36卷 / 02期
关键词：
Opial's inequality; higher order derivatives; Taylor expansion; Schwarz inequality; weighted versions;
D O I：
10.5556/j.tkjm.36.2005.123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish some new inequalities similar to Opial's inequality involving functions and their higher order derivatives. The analysis used in the proofs is elementary and our results provide a new range of inequalities of this type.
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页码：111 / 117
页数：7
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