ON HUBERT ' S INEQUALITY IN n DIMENSIONS

نویسنده

  • HERBERT S. WILF
چکیده

The question of obtaining more precise information about the term o(l) in (3) seems to have been first publicly raised by W. W. Sawyer [ l ] . Because of the interest of this problem in numerical analysis [2] it has been investigated by several workers [3; 4; 5] with the result that various upper and lower bounds for the rate of growth of this term are known. We have been able to determine the desired rate of growth more satisfactorily by finding the first two terms of the asymptotic expansion of Xn. Our result is the following 1 The work of the second author was supported in part by the U.S.A.E.C. under contract with the Argonne National Laboratory.

برای دانلود رایگان 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

M ay 2 00 7 On the Riemannian Penrose inequality in dimensions less than 8

The Positive Mass Theorem states that a complete asymptotically flat manifold of nonnegative scalar curvature has nonnegative mass. The Riemannian Penrose inequality provides a sharp lower bound for the mass when black holes are present. More precisely, this lower bound is given in terms of the area of an outermost minimal surface, and equality is achieved only for Schwarzschild metrics. The Ri...

متن کامل

Impact of Poverty Dimensions on Chronic And Transient Poverty in Iran

The topic of poverty has always been studied in the world. If we can break down poverty, we will have a better understanding of the changes in poverty .The purpose of this article is to show the status of poverty and its three dimensions in chronic and transient poverty in Iran using the raw data of the Iranian Statistical Center and drawing the three dimensional curve of poverty (TIP) using th...

متن کامل

Strategies for Iranian Women Empowerment in Reducing Gender Inequality Using Focus Group Discussion

 Background and purpose: Gender inequality can cause waste of human resources, reduce women's social participation, influence women's physical and mental health, cause domestic violence and delay the development of a country. Hence, strategies are required to identify and reduce gender inequality in a society. The purpose of this study was to explain strategies to reduce gender inequality. Mat...

متن کامل

On the Riemannian Penrose Inequality in Dimensions Less than Eight

The positive mass theorem states that a complete asymptotically flat manifold of nonnegative scalar curvature has nonnegative mass and that equality is achieved only for the Euclidean metric. The Riemannian Penrose inequality provides a sharp lower bound for the mass when black holes are present. More precisely, this lower bound is given in terms of the area of an outermost minimal hypersurface...

متن کامل

On the Norm of the Beurling–ahlfors Operator in Several Dimensions

The generalized Beurling–Ahlfors operator S on L(R; Λ), where Λ := Λ(R) is the exterior algebra with its natural Hilbert space norm, satisfies the estimate ‖S‖L (Lp(Rn;Λ)) ≤ (n/2 + 1)(p ∗ − 1), p∗ := max{p, p′}. This improves on earlier results in all dimensions n ≥ 3. The proof is based on the heat extension and relies at the bottom on Burkholder’s sharp inequality for martingale transforms.

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007