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ON OPIAL INEQUALITIES INVOLVING HIGHER ORDER DERIVATIVES

Chang-Jian Zhao|Wing-Sum Cheung
대한수학회 (The Korean Mathematical Society)|2012.12|대한수학회보 (Bulletin of the KMS)|제49권 제6호|pp. 1263-1274

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키워드

Opial-type inequalitiesOpial’s inequalityH¨older’s inequality
주제분류수학

초록

In the present paper we establish some new Opial-type inequalities involving higher order partial derivatives. The results in special cases yield some of the recent results on Opial's inequality and provide new estimates on inequalities of this type.

Abstract

In the present paper we establish some new Opial-type inequalities involving higher order partial derivatives. The results in special cases yield some of the recent results on Opial's inequality and provide new estimates on inequalities of this type.

참고문헌 (33)

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