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