Proceedings of the Japan Academy, Series A, Mathematical Sciences

On some Pachpatte integral inequalities involving convex functions

Young-Ho Kim

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Abstract

In the present paper we establish some new integral inequalities involving convex function as a certain extensions of Pachpatte's inequality by using a fairly elementary analysis.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 77, Number 10 (2001), 164-167.

Dates
First available in Project Euclid: 23 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.pja/1148392982

Digital Object Identifier
doi:10.3792/pjaa.77.164

Mathematical Reviews number (MathSciNet)
MR1873737

Zentralblatt MATH identifier
1025.26014

Subjects
Primary: 26D15: Inequalities for sums, series and integrals

Keywords
Integral inequality convex function Pachpatte's integral inequality

Citation

Kim, Young-Ho. On some Pachpatte integral inequalities involving convex functions. Proc. Japan Acad. Ser. A Math. Sci. 77 (2001), no. 10, 164--167. doi:10.3792/pjaa.77.164. https://projecteuclid.org/euclid.pja/1148392982


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References

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