Suchergebnisse - "Inverse theorems in approximation theory"
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Direct and inverse theorems in approximation theory for periodic functions in S.B. Stechkin’s papers and the development of these theorems
ISSN: 0081-5438, 1531-8605Veröffentlicht: Dordrecht SP MAIK Nauka/Interperiodica 01.07.2011Veröffentlicht in Proceedings of the Steklov Institute of Mathematics (01.07.2011)“… S.B. Stechkin made a considerable contribution to the important aspect of approximation theory for periodic functions concerned with direct and inverse …”
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Extremal Problems in Polynomials and Entire Functions
ISBN: 9781493912452, 1493912453ISSN: 1931-6828, 1931-6836Veröffentlicht: United States Springer New York 2014Veröffentlicht in Handbook of Functional Equations (2014)“… The subject of extremal problems for polynomials and related classes of functions plays an important and crucial role in obtaining inverse theorems in approximation theory …”
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A theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 29.08.2012Veröffentlicht in arXiv.org (29.08.2012)“… theorems in approximation theory for it …”
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On a connection between a generalised modulus of smoothness of order~\(r\) and the best approximation by algebraic polynomials
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 31.08.2012Veröffentlicht in arXiv.org (31.08.2012)“… In this paper an asymmetrical operator of generalised translation is introduced, the generalised modulus of smoothness is defined by its means and the direct and inverse theorems in approximation …”
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On coincidence of classes of functions defined by a generalised modulus of smoothness and the appropriate inverse theorem
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 27.08.2012Veröffentlicht in arXiv.org (27.08.2012)“… We also prove the appropriate inverse theorem in approximation theory …”
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