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Titlebook: Convex Functions, Monotone Operators and Differentiability; Robert R. Phelps Book 1993Latest edition Springer-Verlag Berlin Heidelberg 199

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,Gâteaux differentiability spaces,The following class of spaces is formally larger than the class of weak Asplund spaces, but in some ways is a more natural object of study.
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https://doi.org/10.37307/b.978-3-503-21294-1→ . satisfies . whenever . ∈ . and 0 < . < 1. If equality always holds, ƒ is said to be .. A function ƒ: . → . is said to be . if — ƒ is convex. We will be studying the differentiability properties of such functions, assuming, in the beginning, that they are continuous. (The important case of lower
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978-3-540-56715-8Springer-Verlag Berlin Heidelberg 1993
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Lecture Notes in Mathematicshttp://image.papertrans.cn/c/image/237840.jpg
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https://doi.org/10.37307/b.978-3-503-21294-1ll be studying the differentiability properties of such functions, assuming, in the beginning, that they are continuous. (The important case of lower semicontinuous convex functions is considered in Sec. 3.)
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