P - functions , quasiconvex functions and Hadamard - type inequalities
نویسنده
چکیده
We establish some results concerning P{functions from the standpoint of abstract convexity. In particular, we show that the set of all P{functions on a segment is the least set closed under pointwise sum, supremum and convergence and containing the class of all nonnegative quasiconvex functions on that segment. Further, generalizations are derived of a recent inequality of Hadamard type for P{functions.
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