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Exact constants in inequalities of the jackson type for quadrature formulas

We prove that if \(R_n \left( {f,\{ t_k \} ,\{ p_k \} } \right)\) is the error of a simple quadrature formula and ω(ε, δ)1 is the integral modulus of continuity, then, for any δ ≥/π andn,r = 1, 2, …, the following equality is true: \(\mathop {\inf }\limits_{\{ f_k \} ,\{ p_k \} } \mathop {\sup }...

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Bibliographic Details
Date:	2000
Main Authors:	Doronin, V. G., Ligun, A. A., Доронин, В. Г., Лигун, А. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4395
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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