Higher-order Fefferman-Poincaré type inequalities and applications

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

Some extended Simpson-type inequalities and applications

‎In this paper‎, ‎we shall establish some extended Simpson-type inequalities‎ ‎for differentiable convex functions and differentiable concave functions‎ ‎which are connected with Hermite-Hadamard inequality‎. ‎Some error estimates‎ ‎for the midpoint‎, ‎trapezoidal and Simpson formula are also given‎.

متن کامل

On Friedrichs – Poincaré - type inequalities ✩

Friedrichsand Poincaré-type inequalities are important and widely used in the area of partial differential equations and numerical analysis. Most of their proofs appearing in references are the argument of reduction to absurdity. In this paper, we give direct proofs of Friedrichs-type inequalities in H 1(Ω) and Poincaré-type inequalities in some subspaces of W1,p(Ω). The dependencies of the ine...

متن کامل

Higher Order Turán Inequalities

The celebrated Turán inequalities P 2 n(x) − Pn−1(x)Pn+1(x) ≥ 0, x ∈ [−1, 1], n ≥ 1, where Pn(x) denotes the Legendre polynomial of degree n, are extended to inequalities for sums of products of four classical orthogonal polynomials. The proof is based on an extension of the inequalities γ2 n − γn−1γn+1 ≥ 0, n ≥ 1, which hold for the Maclaurin coefficients of the real entire function ψ in the L...

متن کامل

Higher order Hardy inequalities

This note deals with the inequality (∫ b a |u(x)|w0(x)dx )1/q ≤ C (∫ b a |u(x)|wk(x)dx )1/p , (1) more precisely, with conditions on the parameters p > 1, q > 0 and on the weight functions w0, wk (measurable and positive almost everywhere) which ensure that (1) holds for all functions u from a certain class K with a constant C > 0 independent of u. Here −∞ ≤ a < b ≤ ∞ and k ∈ N and we will cons...

متن کامل

Inequalities and Higher Order Convexity

We study the following problem: given n real arguments a1, ..., an and n real weights w1, ..., wn, under what conditions does the inequality w1f(a1) + w2f(a2) + · · ·+ wnf(an) ≥ 0 hold for all functions f satisfying f (k) ≥ 0 for some given integer k? Using simple combinatorial techniques, we can prove many generalizations of theorems ranging from the Fuchs inequality to the criterion for Schur...

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: Journal of Inequalities and Applications

سال: 2015

ISSN: 1029-242X

DOI: 10.1186/s13660-015-0914-y