Steiner symmetric extremals in Pólya–Szegö-type inequalities
نویسندگان
چکیده
منابع مشابه
Sharp Morrey-sobolev Inequalities and the Distance from Extremals
Quantitative versions of sharp estimates for the supremum of Sobolev functions in W 1,p(Rn), p > n, with remainder terms depending on the distance from the families of extremals, are established.
متن کاملThe Brascamp–lieb Inequalities: Finiteness, Structure and Extremals
We consider the Brascamp–Lieb inequalities concerning multilinear integrals of products of functions in several dimensions. We give a complete treatment of the issues of finiteness of the constant, and of the existence and uniqueness of centred gaussian extremals. For arbitrary extremals we completely address the issue of existence, and partly address the issue of uniqueness. We also analyse th...
متن کاملSymmetric Homogeneous Triangle Inequalities
A brief scan through the problem columns of various mathematical journals shows a continual outpouring of proposed problems involving what can be roughly described as “triangle inequalities”. A few examples will suffice to indicate the flavor of these perennial favorites: Let the sides of a triangle be a, b, c and let the angles be A, B, C. Let r and R be the inradius and circumradius, respecti...
متن کاملSymmetric Modular Diophantine Inequalities
In this paper we study and characterize those Diophantine inequalities axmod b ≤ x whose set of solutions is a symmetric numerical semigroup. Given two integers a and b with b = 0 we write a mod b to denote the remainder of the division of a by b. Following the notation used in [8], a modular Diophantine inequality is an expression of the form ax mod b ≤ x. The set S(a, b) of integer solutions ...
متن کاملSymmetric Polynomials and Symmetric Mean Inequalities
We prove generalized arithmetic-geometric mean inequalities for quasi-means arising from symmetric polynomials. The inequalities are satisfied by all positive, homogeneous symmetric polynomials, as well as a certain family of nonhomogeneous polynomials; this family allows us to prove the following combinatorial result for marked square grids. Suppose that the cells of a n × n checkerboard are e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2006
ISSN: 0001-8708
DOI: 10.1016/j.aim.2005.05.007