On a theorem of S. Bernstein-Widder

نویسندگان

چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bernstein-szegő Theorem on Algebraic S-contours

Given function f holomorphic at infinity, the n-th diagonal Padé approximant to f , say [n/n]f , is a rational function of type (n,n) that has the highest order of contact with f at infinity. Equivalently, [n/n]f is the n-th convergent of the continued fraction representing f at infinity. BernsteinSzegő theorem provides an explicit non-asymptotic formula for [n/n]f and all n large enough in the...

متن کامل

Positive definite functions, completely monotone functions, the Bernstein-Widder theorem, and Schoenberg’s theorem

So, 〈(A ∗B)ei, ej〉 = 〈Aei, ej〉 〈Bei, ej〉 . The Schur product theorem states that if A,B ∈ L (C) are positive then their Hadamard product A ∗B is positive. 1John B. Conway, A Course in Functional Analysis, second ed., p. 33, Proposition 2.12. 2John B. Conway, A Course in Functional Analysis, second ed., p. 34, Proposition 2.13. 3Ward Cheney and Will Light, A Course in Approximation Theory, p. 81...

متن کامل

A Bernstein Theorem for Special Lagrangian Graphs

We obtain a Bernstein theorem for special Lagrangian graphs in Cn = R for arbitrary n only assuming bounded slope but no quantitative restriction.

متن کامل

A Bernstein-Markov Theorem for Normed Spaces

Let X and Y be real normed linear spaces and let φ : X → R be a non-negative function satisfying φ(x+ y) ≤ φ(x) + ‖y‖ for all x, y ∈ X. We show that there exist optimal constants cm,k such that if P : X → Y is any polynomial satisfying ‖P (x)‖ ≤ φ(x)m for all x ∈ X, then ‖D̂kP (x)‖ ≤ cm,kφ(x) whenever x ∈ X and 0 ≤ k ≤ m. We obtain estimates for these constants and present applications to polyno...

متن کامل

Cantor-bernstein Theorem for Lattices

This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element.

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

ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1931

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1931-1501622-8