On the maximal error in the approximation of irrational functions of resolvent integral operators by continued fractions

Autor:	I. Yu. Podil’chuk
Rok vydání:	2013
Předmět:	Statistics and Probability Work (thermodynamics) Operator (computer programming) Applied Mathematics General Mathematics Irrational number Mathematical analysis Linear system Resolvent formalism Viscoelasticity Mathematics Resolvent
Zdroj:	Journal of Mathematical Sciences. 190:646-657
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-013-1277-x
Popis:	In constructing the solutions of problems of the linear theory of viscoelasticity, there arises a necessity to decode irrational functions of resolvent integral operators. In the present work, we develop a method of calculation of the maximal error with the help of the method of operator continued fractions, which enables one to estimate the accuracy of constructing the solutions of viscoelasticity problems. A numerical example of calculation of the error is given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::70f0c99307ab15d638e1b49cac14d99e https://doi.org/10.1007/s10958-013-1277-x Zobrazit plný text záznamu Plný text ve formátu PDF