A converse of Taylor’s theorem for functions on Banach spaces
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- by S. Dayal PDF
- Proc. Amer. Math. Soc. 65 (1977), 265-273 Request permission
Abstract:
The main results are the local representation theorems associating the local weak n-Taylor series expansion of a function defined on a Banach space to a local n-Taylor series expansion of the coefficients. These theorems are used to prove a converse of Taylor’s theorem which uses weaker hyptohesis than used by others. Another useful application of the above results is done in [2] to study a class of functions called n-convex functions.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 265-273
- MSC: Primary 58C20; Secondary 46G05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0448394-2
- MathSciNet review: 0448394