Young不等式及其应用  

Young Inequality and its Applications

作　　者：薛建明[1] 周旋[1] 

机构地区：[1]昆明理工大学津桥学院,云南昆明650106

出　　处：《贵州大学学报（自然科学版）》2016年第3期8-9,共2页Journal of Guizhou University:Natural Sciences

基　　金：云南省教育厅科学研究基金资助项目(2013Y082)

摘　　要：Young不等式是一个非常重要的不等式,它在分析数学中有着广泛的应用,对促进现代数学的发展起到了非常重要的作用。本文利用Young不等式证明了H?lder不等式和Young逆不等式,进而证明了Bernoulli不等式。Young inequality is an important inequality which is used widely in mathematical analysis and plays an important role in the development of modern mathematics. The proofs of Holder inequality and reverse Young inequality by Young inequality were presented.Then the proof of Bernoulli inequality was given.

关 键 词：YOUNG不等式 HOLDER不等式 BERNOULLI不等式 

分 类 号：O178[理学—数学]