Document Zbl 1274.42001

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A note on the inverse theorem for a generalised modulus of smoothness. (English) Zbl 1274.42001

Mat. Bilt. 25, 91-96 (2001).

Summary: We prove the converse to Jackson’s theorem for a modulus of smoothness of first order generalised by means of an asymmetric operator of generalised translation.

MSC:

42A05	Trigonometric polynomials, inequalities, extremal problems
42A10	Trigonometric approximation

Keywords:

generalised modulus of smoothness; asymmetric operator of generalised translation; converse Jackson theorem; best approximation by algebraic polynomials

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