A note on subadditive functions
نویسندگان
چکیده
منابع مشابه
Approximating Subadditive Hadamard Functions on Implicit Matrices
An important challenge in the streaming model is to maintain small-space approximations of entrywise functions performed on a matrix that is generated by the outer product of two vectors given as a stream. In other works, streams typically define matrices in a standard way via a sequence of updates, as in the work of Woodruff [22] and others. We describe the matrix formed by the outer product, ...
متن کاملHomogeneity properties of subadditive functions
We collect, supplement and extend some well-known basic facts on various homogeneity properties of subadditive functions.
متن کاملOn Growth Rates of Subadditive Functions for Semiflows
Let ,: X_T+ X be a semiflow on a compact metric space X. A function F: X_T+ X is subadditive with respect to , if F(x, t+s) F(x, t)+F(,(x, t), s). We define the maximal growth rate of F to be supx # X lim supt (1 t) F(x, t). This growth rate is shown to equal the maximal growth rate of the subadditive function restricted to the minimal center of attraction of the semiflow. Applications to Birkh...
متن کاملA Note on Conjugate Functions
1. Statement of results. The purpose of this note is to discuss as simply as possible a generalization of the classical theorem of M. Riesz2 on the integrability of the conjugate functions of functions in LP, and to point out some of the consequences for Fourier series. Suppose that(t) is a non-negative, convex function defined for t^O with (2t) ̂K<p(t) ior some constant K. Th...
متن کاملA Note on Convex Functions
In this paper, we give twoweak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
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: Proceedings of the American Mathematical Society
سال: 1974
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1974-0327985-0