On Second Order Derivatives of Convex Functions on Infinite Dimensional Spaces with Measures
نویسندگان
چکیده
We consider convex functions on infinite dimensional spaces equipped with measures. Our main results give some estimates of the first and second derivatives of a convex function, where second derivatives are considered from two different points of view: as point functions and as measures.
منابع مشابه
Second Derivatives of Convex Functions in the Sense of A.d. Alexandroff on Infinite Dimensional Spaces with Measures
We consider convex functions on infinite dimensional spaces equipped with measures. Our main results give some estimates of the first and second derivatives of a convex function, where second derivatives are considered from two different points of view: as point functions and as measures.
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