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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, Volume 8, Issue 2, Pages 3–11
DOI: https://doi.org/10.18500/1816-9791-2008-8-2-3-11 (Mi isu109) 		 
Mathematics

Approximative properties of mixed series by Lagerre's polynomials onclasses of smooth functions

S. Ya. Pirmetova

Daghestan State Pedagogical University, Chair for Applied Mathematics
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DOI: https://doi.org/10.18500/1816-9791-2008-8-2-3-11
Abstract: Approximative properties of mixed series by Lagerre's polynomials on classes of smooth functions that given on axle $[0,\infty)$ are viewed. Inequality that corresponds to Lebesgue inequality for trigonometric Fourier sumswas found for evaluation of deflection of smooth function from it's partial sums of mixed series by Lagerre's polynomials. Evaluations for corresponding Lebesgue function of partial sums of mixed series by Lagerre's polynomials were found.
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. Ya. Pirmetova, “Approximative properties of mixed series by Lagerre's polynomials onclasses of smooth functions”, Izv. Saratov Univ. Math. Mech. Inform., 8:2 (2008), 3–11
Citation in format AMSBIB
\Bibitem{Pir08}
\by S.~Ya.~Pirmetova
\paper Approximative properties of mixed series by Lagerre's polynomials onclasses of smooth functions
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2008
\vol 8
\issue 2
\pages 3--11
\mathnet{http://mi.mathnet.ru/isu109}
\crossref{https://doi.org/10.18500/1816-9791-2008-8-2-3-11}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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