Frankl-Füredi Type Inequalities for Polynomial Semi-lattices

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Frankl-Füredi Type Inequalities for Polynomial Semi-lattices

Let X be an n-set and L a set of nonnegative integers. F , a set of subsets of X, is said to be an L -intersection family if and only if for all E 6= F ∈ F , |E ∩F | ∈ L. A special case of a conjecture of Frankl and Füredi [4] states that if L = {1, 2, . . . , k}, k a positive integer, then |F| ≤ ∑ki=0 (n−1 i ). Here |F| denotes the number of elements in F . Recently Ramanan proved this conject...

متن کامل

On Bernstein Type Inequalities for Complex Polynomial

In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.

متن کامل

On a Conjecture of Frankl and Füredi

Frankl and Füredi conjectured that if F ⊂ 2 is a non-trivial λ-intersecting family of size m, then the number of pairs {x, y} ∈ ( X 2 ) that are contained in some F ∈ F is at least ( m 2 ) [P. Frankl and Z. Füredi. A Sharpening of Fisher’s Inequality. Discrete Math., 90(1):103-107, 1991]. We verify this conjecture in some special cases, focusing especially on the case where F is additionally re...

متن کامل

Landau and Kolmogoroff Type Polynomial Inequalities

Let 0 < j < m ≤ n be integers. Denote by ‖ · ‖ the norm ‖f‖2 = ∫∞ −∞ f 2(x) exp(−x2)dx. For various positive values of A and B we establish Kolmogoroff type inequalities ‖f ‖ ≤ A‖f (m)‖2 +B‖f‖2 Aθk +Bμk , with certain constants θk e μk, which hold for every f ∈ πn (πn denotes the space of real algebraic polynomials of degree not exceeding n). For the particular case j = 1 and m = 2, we provide ...

متن کامل

Landau and Kolmogoroff Type Polynomial Inequalities CLAUDIA

Reprints available directly from the publisher Photocopying permitted by license only (C) 1999 OPA (Overseas Publishers Association) N.V. Let 0 <j < m _< n be integers. Denote by I1" the norm Ilfll f2 f2(x) exp(-x2) dx. For various positive values of A and B we establish Kolmogoroff type inequalities ilfU) < , Ill (m) + BIIfll AOk + B#k with certain constants Oke lZk, which hold for every fE 7r...

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: The Electronic Journal of Combinatorics

سال: 1997

ISSN: 1077-8926

DOI: 10.37236/1313