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Jackson theorem

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MathematicsTopologyPoint-Set TopologyBounded from Above

A theorem in the theory of approximation of functions which yields an estimate from above for the best approximation of a function by algebraic polynomials (for a periodic function, by trigonometric polynomials). Jackson's theorem makes it possible to study the properties of best approximations in dependence on the differentiability properties of the function. Cf.

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How to Cite This Entry:
Jackson theorem. V.I. Berdyshev (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Jackson_theorem&oldid=15983

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098

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Bounded from AboveMathematics / Topology / Point-Set Topology / Bounded from Abovemethod: title_similarity - confidence: 0.90suggested

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Jackson theoremencyclopedia_of_mathematics

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Jackson inequalityoutgoing citation Best approximations, sequence ofincoming citation Algebraic polynomial of best approximationincoming citation Weierstrass theoremincoming citation Zygmund class of functionsincoming citation Approximation of functions, direct and inverse theoremsincoming citation Functions of a real variable, theory ofincoming citation

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discussesarticle:eom--jackson-theorem--02b33133a9 -> concept:jackson-theoremconfidence: 1.00 - provenance: encyclopedia_of_mathematicsconfirmed

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citesconcept:best-approximations-sequence-of -> concept:jackson-theoremconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:algebraic-polynomial-of-best-approximation -> concept:jackson-theoremconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:weierstrass-theorem -> concept:jackson-theoremconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:zygmund-class-of-functions -> concept:jackson-theoremconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:approximation-of-functions-direct-and-inverse-theorems -> concept:jackson-theoremconfidence: 1.00 - provenance: article backlink extractionreviewed

citesconcept:functions-of-a-real-variable-theory-of -> concept:jackson-theoremconfidence: 1.00 - provenance: article backlink extractionreviewed

subcategory_ofconcept:jackson-theorem -> topic:bounded-from-aboveconfidence: 0.90 - provenance: title_similarity classificationsuggested

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