G. Muszely, \On continuous solutions of a functional inequality," Metrika, vol. 20, pp. 65-69, 1973.  Home/Search   Document Not in Database   Summary   Related Articles

....because, in that case, the quantity r must be xed to the value 1. Moreover, it turns out that Eq. 2.45) independent of proof method, no longer speci es a relatively unique solution. For instance, even if one were to make the restriction F 1 (p) F 2 (p) f(p) a theorem due to Musz ely [56, 57] states that any function of the following form will satisfy the honest expert inequality for all distributions: f(p) 1 p) U p 1 2 Z p 1 2 0 U(t) dt C ; 2.75) where C is constant and U(t) is any continuous, increasing, odd function de ned on the open interval ( 1 2 ; 1 2 ....

G. Muszely, \On continuous solutions of a functional inequality," Metrika, vol. 20, pp. 65-69, 1973.

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