Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$

DOI10.1007/978-1-4939-0258-3_22zbMath1331.65055OpenAlexW59276204WikidataQ115058694 ScholiaQ115058694MaRDI QIDQ3193161

Gradimir V. Milovanović, Abdullo Rakhmonovich Hayotov, Kholmat Mahkambaevich Shadimetov

Publication date: 15 October 2015

Published in: Analytic Number Theory, Approximation Theory, and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0258-3_22

zbMATH Keywords

interpolationalgorithmHilbert spacesplinequadraturenumerical resulterror functionalLagrange method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Построение оптимальной интерполяционной формулы методом Соболева точных для тригонометрических функций ⋮ Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm) ⋮ An exponential-trigonometric spline minimizing a seminorm in a Hilbert space

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