On an integral inequality of Z. Opial
Paul R. Beesack · Transactions of the American Mathematical Society · 1962
In a recent paper [3], Z. Opial proved the following interesting integral inequality:Let y(x) be of class Cl on O^x^h, and satisfy y(0)=y(¿)=0, y(x)>0 ore (0, A). 7Aere(1)= YJ \yy'\dt--J \yy'\dl+2j -jj |yy'|<7/|dx, so that 2 X 2 f \yy'\dx ^ J y'2dx + j -U2(x) -2\ \yy'\ dA dx 2 f.H-| I yy' I dx.