About: Stirling's formula revisited via some classical and new inequalities

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Stirling's formula revisited via some classical and new inequalities Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The Hermite-Hadamard inequality is used to develop an approximation to the logarithm of the gamma function which is more accurate than the Stirling approximation and easier to derive. Then the concavity of the logarithm of gamma of logarithm is proved and applied to the Jensen inequality. Finally, the Wallis ratio is used to obtain the additional term in Stirling's approximation formula. The Hermite-Hadamard inequality is used to develop an approximation to the logarithm of the gamma function which is more accurate than the Stirling approximation and easier to derive. Then the concavity of the logarithm of gamma of logarithm is proved and applied to the Jensen inequality. Finally, the Wallis ratio is used to obtain the additional term in Stirling's approximation formula. (en)
Title	Stirling's formula revisited via some classical and new inequalities Stirling's formula revisited via some classical and new inequalities (en)
skos:prefLabel	Stirling's formula revisited via some classical and new inequalities Stirling's formula revisited via some classical and new inequalities (en)
skos:notation	RIV/00216208:11150/11:10109563!RIV12-MSM-11150___
http://linked.open...avai/riv/aktivita	N
http://linked.open...avai/riv/aktivity	N
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Bukač, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Lékařská fakulta v Hradci Králové
http://linked.open...dnocenehoVysledku	232405
http://linked.open...ai/riv/idVysledku	RIV/00216208:11150/11:10109563
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	approximation; Wallis ratio; Jensen inequality; Hermite-Hadamard inequality; Stirling's formula (en)
http://linked.open.../riv/klicoveSlovo	Hermite-Hadamard inequality Jensen inequality Stirling's formula Wallis ratio approximation
http://linked.open...odStatuVydavatele	HR - Chorvatská republika
http://linked.open...ontrolniKodProRIV	[BD19BEF28A43]
http://linked.open...i/riv/nazevZdroje	Mathematical Inequalities and Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	14
http://linked.open...iv/tvurceVysledku	Bukač, Josef Buric, Tomislav Elezovic, Neven
http://linked.open...ain/vavai/riv/wos	000291112400020
issn	1331-4343
number of pages	11 (xsd:int)
http://localhost/t...ganizacniJednotka	11150

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software