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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • 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