Erdös Type Inequality for Lorentz Polynomials
نویسندگان
چکیده
منابع مشابه
a cauchy-schwarz type inequality for fuzzy integrals
نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
15 صفحه اولInequalities for Lorentz polynomials
We prove a few interesting inequalities for Lorentz polynomials. A highlight of this paper states that the Markov-type inequality max x∈[−1,1] |f (x)| ≤ n max x∈[−1,1] |f(x)| holds for all polynomials f of degree at most n with real coefficients for which f ′ has all its zeros outside the open unit disk. Equality holds only for f(x) := c((1± x) − 2n−1) with a constant 0 6= c ∈ R. This should be...
متن کاملChvátal-Erdös type theorems
The Chvátal-Erdös theorems imply that if G is a graph of order n ≥ 3 with κ(G) ≥ α(G), then G is hamiltonian, and if κ(G) > α(G), then G is hamiltonian-connected. We generalize these results by replacing the connectivity and independence number conditions with a weaker minimum degree and independence number condition in the presence of sufficient connectivity. More specifically, it is noted tha...
متن کاملAn inequality for chromatic polynomials
Woodall, D.R., An inequality for chromatic polynomials, Discrete Mathematics 101 (1992) 327-331. It is proved that if P(G, t) is the chromatic polynomial of a simple graph G with II vertices, m edges, c components and b blocks, and if t S 1, then IP(G, t)/ 2 1t’(t l)hl(l + ys + ys2+ . + yF’ +spl), where y = m n + c, p = n c b and s = 1 t. Equality holds for several classes of graphs with few ci...
متن کاملAn inequality for Tutte polynomials
Let G be a graph without loops or bridges and a, b be positive real numbers with b ≥ a(a + 2). We show that the Tutte polynomial of G satisfies the inequality TG(b, 0)TG(0, b) ≥ TG(a, a). Our result was inspired by a conjecture of Merino and Welsh that TG(1, 1) ≤ max{TG(2, 0), TG(0, 2)}.
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: Analysis in Theory and Applications
سال: 2018
ISSN: 1672-4070,1573-8175
DOI: 10.4208/ata.oa-2017-0002