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Encyclopaedia of Mathematics

Part of the book series: Encyclopaedia of Mathematics ((ENMA,volume 5))

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Abstract

Jackson Inequality - An inequality estimating the rate of decrease of the best approximation error of a function by trigonometric or algebraic polynomials in dependence on its differentiability and finite-difference properties. Let ƒ be a 2л-periodic continuous function on the real axis, let En(f) be the best uniform approximation error of ƒ by trigonometric polynomials Tn of degree n,

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© 1990 Kluwer Academic Publishers

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Vinogradov, I.M. (1990). J. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5988-0_2

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