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math.FA2017★ 1 cited
Some results on strongly operator convex functions and operator monotone functions
Lawrence G. Brown, Mitsuru Uchiyama
This paper concerns three classes of real-valued functions on intervals, operator monotone functions, operator convex functions, and strongly operator convex functions. Strongly op…
math.FA2017
Some methods for constructing new operator monotone functions from old ones
Lawrence G. Brown
We observe that if f is a continuous function on an interval I and x_0 \in I, then f is operator monotone if and only if the function (f(x) - f(x_0)/(x - x_0) is strongly operator…