Sharp discrete inequalities and applications to discrete variational problems

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

Sharp interpolation inequalities for discrete operators and applications

We consider interpolation inequalities for imbeddings of the l2-sequence spaces overd-dimensional lattices into the l∞ 0 spaceswritten as interpolation inequality between the l2-norm of a sequence and its difference. A general method is developed for finding sharp constants, extremal elements and correction terms in this type of inequalities. Applications to Carlson’s inequalities and spectral ...

متن کامل

Discrete-time fractional variational problems

We introduce a discrete-time fractional calculus of variations on the time scale hZ, h > 0. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Euler-Lagrange and Legendre type conditions are given. They show that solutions to the considered fractional problems become the classical discrete-time solutions when the fractional order of ...

متن کامل

DISCRETE RIESZ TRANSFORMS AND SHARP METRIC Xp INEQUALITIES

For p ∈ [2,∞) the metric Xp inequality with sharp scaling parameter is proven here to hold true in Lp. The geometric consequences of this result include the following sharp statements about embeddings of Lq into Lp when 2 < q < p <∞: the maximal θ ∈ (0, 1] for which Lq admits a bi-θ-Hölder embedding into Lp equals q/p, and for m,n ∈ N the smallest possible bi-Lipschitz distortion of any embeddi...

متن کامل

New discrete Halanay-type inequalities and applications

In this paper, we introduce some new discrete type Halanay inequalities which extend the existing results. On the basis of these inequalities, we discuss the global stability of discrete neural networks with time-varying delays. © 2012 Elsevier Ltd. All rights reserved.

متن کامل

Some New Discrete Inequalities and Their Applications

The aim of the present paper is to establish some new linear and nonlinear discrete inequalities in two independent variables. We give some examples in difference equations and we also give numerical test problems for our results.

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 Computational and Applied Mathematics

سال: 2009

ISSN: 0377-0427

DOI: 10.1016/j.cam.2009.05.025