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On an Opial Type Inequality Due to Fink

✍ Scribed by P.Y.H. Pang; R.P. Agarwal


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
168 KB
Volume
196
Category
Article
ISSN
0022-247X

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Given two cp-functions F and G we consider the largest cp-function ## Y o u m -t y p e inequality H(XY) F ( x ) + G(Y) holds for all x, y > 0. We prove an equivalence theorem for F @ G with the best constants and, for the special case when F and G are log-convex and satisfy a certain growth condi