Pregled bibliografske jedinice broj: 499305
Stirling's formula revisited via some classical and new inequalities
Stirling's formula revisited via some classical and new inequalities // Mathematical inequalities & applications, 14 (2011), 1; 235-245 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 499305 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Stirling's formula revisited via some classical and new inequalities
Autori
Bukac, Josef ; Burić, Tomislav ; Elezović, Neven
Izvornik
Mathematical inequalities & applications (1331-4343) 14
(2011), 1;
235-245
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Stirling formula; Hermite-Hadamard inequality; Jensen inequality; Wallis ratio; approximation
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
