Optimal Formulas for Calculating Linear Functionals

The main result of this work are the construction of composite optimal quadrature formulas in the Sobolev space of periodic functions. Here we find the optimal coefficients of the composite quadrature formulas at for any . In addition, the norm of the error functionals of the constructed optimal qua...

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Veröffentlicht in:	Lobachevskii journal of mathematics 2024-02, Vol.45 (2), p.839-850
Hauptverfasser:	Shadimetov, Kh. M., Mamatova, N. H
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Periodic functions Probability Theory and Stochastic Processes Quadratures Sobolev space
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Beschreibung
Zusammenfassung:	The main result of this work are the construction of composite optimal quadrature formulas in the Sobolev space of periodic functions. Here we find the optimal coefficients of the composite quadrature formulas at for any . In addition, the norm of the error functionals of the constructed optimal quadrature formulas are calculated, i.e. the norms of optimal error functionals of composite quadrature formulas in the conjugate Sobolev space of periodic functions are obtained.
ISSN:	1995-0802 1818-9962
DOI:	10.1134/S1995080224600195