OPIAL-TYPE INEQUALITIES INVOLVING HIGHER-ORDER DERIVATIVES

被引：6

作者：

AGARWAL, RP

PANG, PYH

机构：

[1] Department of Mathematics, National University of Singapore, Kent Ridge

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1995年 / 189卷 / 01期

关键词：

D O I：

10.1006/jmaa.1995.1005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we offer very general Opial-type inequalities involving higher order derivatives. From these inequalities we then deduce extended and improved versions of several recent results. (C) 1995 Academic Press, Inc.

引用

页码：85 / 103

页数：19

共 16 条

[1]

AGARWAL RP, 1982, ANAL STI U AL I CUZA, V28, P123

[2]

AGARWAL RP, 1992, APPL ANAL, V43, P47

[3] ELEMENTARY PROOFS OF SOME OPIAL-TYPE INTEGRAL-INEQUALITIES [J].

BEESACK, PR .

JOURNAL D ANALYSE MATHEMATIQUE, 1979, 36 :1-14

[4] BEST CONSTANTS IN INEQUALITIES RELATED TO OPIALS INEQUALITY [J].

BOYD, DW .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 25 (02) :378-&

[5] SOME NEW OPIAL-TYPE INEQUALITIES [J].

CHEUNG, WS .

MATHEMATIKA, 1990, 37 (73) :136-142

[6] AN INEQUALITY SIMILAR TO OPIALS INEQUALITY [J].

DAS, KM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 22 (01) :258-&

[7]

Fagbohun A.B., 1986, S STEVIN, V60, P301

[8] ON OPIALS INEQUALITY FOR F(N) [J].

FINK, AM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (01) :177-181

[9]

FitzGerald C.H., 1984, GENERAL INEQUALITIES, V4, P25

[10]

LI JD, 1992, J MATH ANAL APPL, V167, P98

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