Some extremal problems for vector bundles
نویسندگان
چکیده
منابع مشابه
Some Extremal Problems for Vector Bundles
Analogs of well-known problems and theorems on convex bodies are considered for the case where the convex bodies are replaced by continuous fields of convex bodies in vector bundles.
متن کاملSome existence results for generalized vector quasi-equilibrium problems
In this paper, we introduce and study a class of generalized vector quasi-equilibrium problem, which includes many vector equilibrium problems, equilibrium problems, vector variational inequalities and variational inequalities as special cases. Using one person game theorems, the concept of escaping sequences and without convexity assumptions, we prove some existence results for ...
متن کاملSome Extremal Problems in Geometry
Continuing our work of [3] we obtain lower bounds on the number of simplices of different volumes and on the number of hyperplanes determined by n points in Ek , not all of which lie on an Ek-1 and no k of which lie on an Ek-2 . We also determine the minimum number of triangles t determined by n noncollinear points in the plane and discuss what values of t can be achieved . L . M . Kelly and 14...
متن کاملSome Hilbert Space Extremal Problems
is achieved. This is given by e¡ = (1 -\-'Kkj)~1hj, where X is the unique positive root of £"-0 kj(l +\k])-1\hj\2 = M2. Davis proved the result by first considering the extremal problem for ra dimensional Euclidean space Rn. In this case the problem has the following geometric interpretation : (a") Let E be the hyperellipse {(oi, • • • , an): ]£?„„ kjOJ^M2} in Rn and suppose that h = (hi, • ■ ■...
متن کاملSome Extremal Problems for Analytic Functions
The paper mainly concerns with functions f , analytic in S : |Imz| < 1 and bounded by a constant M > 1. We state sharp estimates for supR |f ′| under the additional condition supR |f | ≤ 1. Using these estimates we deduce well-known Bernstein’s inequality and some its generalizations for entire functions of a finite type with respect to an arbitrary proximate order. Parallely we investigate als...
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: St. Petersburg Mathematical Journal
سال: 2008
ISSN: 1061-0022
DOI: 10.1090/s1061-0022-08-00998-9