Periodica Mathematica Hungarica

, Volume 17, Issue 2, pp 119–125 | Cite as

On certain integral inequalities related to Opial's inequality

  • B. G. Pachpatte


The aim of the present paper is to establish some new integral inequalities involving three functions and their derivatives which in the special cases yield the well known Opial inequality and some of its generalizations.

AMS (MOS) subject classifications (1980)

Primary 26D10 Secondary 34B15 

Key words and phrases

Integral inequalities Opial's inequality absolutely continuous functions elementary inequality Hölder's inequality Schwarz inequality 


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Copyright information

© Akadémiai Kiadó 1986

Authors and Affiliations

  • B. G. Pachpatte
    • 1
  1. 1.Department of Mathematics and StatisticsMarathwada UniversityAurangabadIndia

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