Armenian Journal of Mathematics

Convergence acceleration of quasi-periodic and quasi-periodic-rational interpolations by polynomial corrections

Poghosyan, Lusine (2013) Convergence acceleration of quasi-periodic and quasi-periodic-rational interpolations by polynomial corrections. Armenian Journal of Mathematics, 5 (2). pp. 123-138. ISSN 1829-1163

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Abstract

The paper considers convergence acceleration of the quasi-periodic and the quasi-periodic-rational interpolations by application of polynomial corrections. We investigate convergence of the resultant quasi-periodic-polynomial and quasi-periodic-rational-polynomial interpolations and derive exact constants of the main terms of asymptotic errors in the regions away from the endpoints. Results of numerical experiments clarify behavior of the corresponding interpolations for moderate number of interpolation points.

Item Type:Article
Subjects:41-xx Approximations and expansions
42-xx Fourier analysis
ID Code:574
Deposited By:Lusine Poghosyan
Deposited On:08 Jan 2014 11:36
Last Modified:30 Jun 2015 11:04

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