The degree of copositive approximation by polynomials
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- by D. Leviatan PDF
- Proc. Amer. Math. Soc. 88 (1983), 101-105 Request permission
Abstract:
Jackson type theorems are established for the approximation of a function $f$ that changes sign finitely many times in $[ - 1,1]$ by polynomials ${p_n}$ which are copositive with it $f{p_n} \geqslant 0{\text { on }}[ - 1,1]$. The results yield the rate of nonconstrained approximation and are thus best possible in the same sense as in the nonconstrained case.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 101-105
- MSC: Primary 41A29; Secondary 41A25
- DOI: https://doi.org/10.1090/S0002-9939-1983-0691286-7
- MathSciNet review: 691286