熟练掌握不等式的证明方法,并理解其背后的数学原理,对于我们的学习和工作都具有重要的意义。 4. 参考文献 [1] Richard Bellman. Holder and Minkowski inequalities. Theory of functions, functional analysis, and their applications. 1967. [2] P. Lindqvist. On the Holder inequality. J. Math. Sci. 1972....
. We obtain these inequalities from some stronger (though slightly more involved) ones.Alfredo N. IusemCarlos A. IsnardDan ButnariuProceedings of the American Mathematical SocietyD. Butnariu, C.A. Isnard, A.N. Iusem, A mixed Holder and Minkowski inequality, Proc. Amer. Math. Soc. 127...
%This paper obtained several inequalities on the nature of the positivematrix,thereby promoting the classical Holder and Minkowski inequality, it gives the generalized Holder-Minkowski integral inequality for Hengzheng integrable function. 关键词:正矩阵;矩阵的幂平均;幂不等式 链接:https://www.zhangqiaoke...
【摘要】推广得到了关于正矩阵性质的几个不等式,借此推广发展了经典的Holder、Minkowski不等式,并利用这些成果给出了恒正可积函数列的广义 Holder及广义Minkowski积分不等式。%This paper obtained several inequalities on the nature of the positive matrix,thereby promoting the classical Holder and Minkowski inequalit...
2. Holder inequality and Minkowsk inequality are two kinds of inequalities usually used in mathematics. Holder不等式和Minkowski不等式是数学里常用的两类不等式,文章证明了这两类带权函数的不等式及其推广的带权不等式,并且给出了带权的Holder逆不等式的证明。3.With Holder inequality...
Holder inequalityand Minkowsk inequality are two kinds of inequalities usually used in mathematics. Holder不等式和Minkowski不等式是数学里常用的两类不等式,文章证明了这两类带权函数的不等式及其推广的带权不等式,并且给出了带权的Holder逆不等式的证明。
Minkowski inequality; inference and Application 目录 摘要.1 引言 2 1.预备知识 3 2.Holder 不等式 5 2.1Holder 不等式的定义及证明 5 2.2 Holder 不等式的积分形式及证明 6 3.Holder 不等式的推广及其应用 7 3.1 Holder 不等式的推广 7 3.2 Holder 不等式的应用 7...
and Young inverse inequality and its proof, the proof of the Holder inequality, established in the stage of elementary mathematics relation between these inequalities, and its application in various fields to lay a good foundation. Key Words:Young inequality; Holder Inequality; Minkowski inequality; ...
thengivestheYounginequalityandYounginverseinequalityanditsproof,theproofoftheHolderinequality,establishedinthestageofelementarymathematicsrelationbetweentheseinequalities,anditsapplicationinvariousfieldstolayagoodfoundation.KeyWords:Younginequality;HolderInequality;Minkowskiinequality;inferenceandApplication目录摘要.1引言21.预备...
The Hölder inequality, theMinkowski inequality, and thearithmetic meanandgeometric meaninequality have played dominant roles in the theory of inequalities. These and many other fundamental inequalities are now in common use and, therefore, it is not surprising that numerous studies related to these ...