Generalized convex functions and best $L_ p$ approximation
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- by Ronald M. Mathsen and Vasant A. Ubhaya PDF
- Proc. Amer. Math. Soc. 114 (1992), 733-740 Request permission
Abstract:
Some properties of generalized convex functions significant to approximation theory are obtained. The existence of a best ${L_p}$ approximation $(1 \leq p \leq \infty )$ from subsets of these functions is established under certain conditions. Special cases of these functions include $n$-convex functions which are much investigated in the literature.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 733-740
- MSC: Primary 26A51; Secondary 41A50
- DOI: https://doi.org/10.1090/S0002-9939-1992-1088444-4
- MathSciNet review: 1088444