Youngs inequality for multivariate functions

Volume 9, Issue 9, pp 5403--5409 http://dx.doi.org/10.22436/jnsa.009.09.09

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Authors

Zlatko Pavić - Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Slavonski Brod, 35000, China.

Abstract

This paper presents a generalization of Young's inequality to the real functions of several variables. Moreover, the relevant facts about Young's inequality and its extension including improved proofs are provided in a review. The basic results are initiated by applying the integral method to a strictly increasing continuous function of one variable.

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Keywords

• Strictly increasing function
• integral sum
• Young's inequality

MSC

•  26B20
•  26D15

References

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