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Jackson's inequality

In approximation theory, Jackson's inequality is an inequality bounding the value of function's best approximation by algebraic or trigonometric polynomials in terms of the modulus of continuity or modulus of smoothness of the function or of its derivatives.[1] Informally speaking, the smoother the function is, the better it can be approximated by polynomials.

  1. ^ Achiezer (Akhiezer), N.I. (2013) [1956]. Theory of approximation. Translated by Hyman, C.J. Dover. ISBN 978-0-486-15313-1. OCLC 1067500225.

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