A Strengthened Form Of Gage ’ s Inequality And Its Analytic

نویسندگان

  • Shengliang Pan
  • Xueyuan Tang
  • Xiaoyu Wang
چکیده

In this note we shall first strengthen Gage’s inequality as a more “isoperimetric-type” inequality. And then, we will use Minkowski’s support function to restate Gage’s inequality as an integral inequality which can be thought of as an analytic version of Gage’s inequality. Mathematics Subject Classification : 52A38, 52A40

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On a New Strengthened Version of a Hardy-hilbert Type Inequality and Applications

By improving an inequality of the weight coefficient, we give a new strengthened version of Hardy-Hilbert’s type inequality. As its applications, we build some strengthened versions of the equivalent form and some particular results.

متن کامل

On a strengthened version of Hardy’s inequality

On the basis of analytic method and skill, a strengthened version of well-known Hardy's inequality is obtained. In comparison with some similar results given in recent decades, it successfully reduced the related coefficient.

متن کامل

The Role of the Strengthened Cauchy-Buniakowskii-Schwarz Inequality in Multilevel Methods

We survey the basic theory of the strengthened Cauchy-Buniakowskii-Schwarz inequality and its applications in multilevel methods for the solution of linear systems arising from nite element or nite diierence discretisation of elliptic partial diierential equations. Proofs are given both in a nite element context, and in purely algebraic form.

متن کامل

On a New Reverse Hilbert\'s Type Inequality

In this paper, by using the Euler-Maclaurin expansion for the Riemann-$zeta$ function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained.

متن کامل

Results on Generalization of Burch’s Inequality and the Depth of Rees Algebra and Associated Graded Rings of an Ideal with Respect to a Cohen-Macaulay Module

Let  be a local Cohen-Macaulay ring with infinite residue field,  an Cohen - Macaulay module and  an ideal of  Consider  and , respectively, the Rees Algebra and associated graded ring of , and denote by  the analytic spread of  Burch’s inequality says that  and equality holds if  is Cohen-Macaulay. Thus, in that case one can compute the depth of associated graded ring of  as  In this paper we ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005