FAST CONVERGING SEQUENCE TO EULER-MASCHERONI CONSTANT

TitleFAST CONVERGING SEQUENCE TO EULER-MASCHERONI CONSTANT
Publication TypeJournal Article
Year of Publication2017
AuthorsGeorgiev I
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume104
Pagination185-191
ISSN0205-0808
Keywordscomputable real number, Euler-Mascheroni constant, exponential trapezoidal rule, subrecursive complexity
Abstract
The aim of the paper is to apply an exponential trapezoidal quadrature rule to an integral representation of the Euler-Mascheroni constant. The resulting sequence has subexponential convergence rate and is particularly useful for estimating the subrecursive complexity of the constant.
2000 MSC

03F60, 03D15

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