A Refinement of the Discrete Wirtinger Inequality
نویسندگان
چکیده
منابع مشابه
A sharp weighted Wirtinger inequality
We obtain a sharp estimate for the best constant C > 0 in the Wirtinger type inequality
متن کاملOn a generalized Wirtinger inequality
Let α (p, q, r) = inf (ku0kp kukq : u ∈W 1,p per (−1, 1) \ {0} , Z 1 −1 |u|r−2 u = 0 ) . We show that α (p, q, r) = α (p, q, q) if q ≤ rp+ r − 1 α (p, q, r) < α (p, q, q) if q > (2r − 1) p generalizing results of Dacorogna-Gangbo-Subía and others. 1 The main result In the present article we discuss the following minimization problem α (p, q, r) = inf ( kukp kukq : u ∈W 1,p per (−1, 1) \ {0} , Z...
متن کاملH∞ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality
*Correspondence: [email protected] Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung, 811, Taiwan, R.O.C. Abstract In this paper, the H∞ performance analysis and switching control of uncertain discrete switched systems with time delay and linear fractional perturbations are considered via a switching signal design. Lyapunov-Krasovskii type functional and di...
متن کاملA multidimensional discrete Hilbert-type inequality
In this paper, by using the way of weight coecients and technique of real analysis, a multidimensionaldiscrete Hilbert-type inequality with a best possible constant factor is given. The equivalentform, the operator expression with the norm are considered.
متن کاملOne Refinement of Jensen’s Discrete Inequality and Applications
Jensen’s inequality induces different forms of functionals which enables refinements for many classic inequalities ([5]). Several refinements of Jensen’s inequalities were given in [4]. In this paper we refine Jensen’s inequality by separating a discrete domain of it. At the end, we give some applications. Mathematics subject classification (2000): 26D15.
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: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0232