On an Opial Inequality with a Boundary Condition
نویسنده
چکیده
R.C. Brown conjectured (in 2001) that the Opial-type inequality
منابع مشابه
An Opial-type inequality with an integral boundary condition
We determine the best constant K and extremals of the Opial-type inequality ∫ b a |yy ′| dx ≤ K(b − a) ∫ b a |y ′|2 dx where y is required to satisfy the boundary condition ∫ b a y dx = 0. The techniques employed differ from either those used recently by Denzler to solve this problem or originally to prove the classical inequality; but they also yield a new proof of that inequality.
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