On a Property of Monotone and Convex Functions
نویسنده
چکیده
G. SZEKERES We shall deal with real functions which have continuous second derivatives in some open interval (a, b), — » ^a(x) is called convex (from below) if "(x)^0 in I('(«) ]2 + /'(*(«))*"(«) ̂ 0, or if (x) is the inverse of ^(u), to (3) f"(x)/f'(x) g <¡>"(x)/<p'(x). Let/;'(*) denote/"(x) if/"(*)¡fc0 and 0 if /"(*) <0. Consider the function
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