Generalized second-order derivatives of convex functions in reflexive Banach spaces
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- by Chi Ngoc Do
- Trans. Amer. Math. Soc. 334 (1992), 281-301
- DOI: https://doi.org/10.1090/S0002-9947-1992-1088019-1
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Abstract:
Generalized second-order derivatives introduced by Rockafellar in finite-dimensional spaces are extended to convex functions in reflexive Banach spaces. Parallel results are shown in the infinite-dimensional case. A result that plays an important role in applications is that the generalized second-order differentiability is preserved under the integral sign.References
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Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 334 (1992), 281-301
- MSC: Primary 49J52; Secondary 46G05
- DOI: https://doi.org/10.1090/S0002-9947-1992-1088019-1
- MathSciNet review: 1088019