Stirling's formula revisited via some classical and new inequalities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11150%2F11%3A10109563" target="_blank" >RIV/00216208:11150/11:10109563 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Stirling's formula revisited via some classical and new inequalities
Original language 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
N - Vyzkumna aktivita podporovana z neverejnych zdroju
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Inequalities and Applications
ISSN
1331-4343
e-ISSN
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Volume of the periodical
14
Issue of the periodical within the volume
1
Country of publishing house
HR - CROATIA
Number of pages
11
Pages from-to
235-245
UT code for WoS article
000291112400020
EID of the result in the Scopus database
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