An Opial-type integral inequality and exponentially convex functions
نویسندگان
چکیده
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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ژورنال
عنوان ژورنال: Fractional Differential Calculus
سال: 2015
ISSN: 1847-9677
DOI: 10.7153/fdc-05-03