Discrete Wirtinger type inequality under non-periodic end conditions
نویسندگان
چکیده
منابع مشابه
A 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 کاملA 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 کاملWirtinger Inequality and Nonlinear Differential Systems
Picone identity for a class of nonlinear differential equations is established and various qualitative results (such as Wirtinger-type inequality and the existence of zeros of first components of solutions) are obtained with the help of this new formula.
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: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.09.029