Inequalities involving a logarithmically convex function and their applications to special functions

Journal of Inequalities in Pure and Applied Mathematics

Volumn 7, Issue 1, 2006, Pages 1-4

  Neuman, Edward ^a  

^a Southern Illinois University at Carbondale   (United States)

Author keywords

Complete elliptic integrals of the first kind; Gamma function; Inequalities; Logarithmically convex functions; Riemann's zeta function

Indexed keywords

EID: 33646390397     PISSN: 14435756     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

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2. C. ALISINA AND M.S. TOMÁS, A geometrical proof of a new inequality for the gamma function, J. Ineq. Pure Appl. Math., 6(2) (2005), Art. 48. [ONLINE: http://jipam.vu.edu.au/article.php?sid=517
3. B.C. CARLSON, Special Functions of Applied Mathematics, Academic Press, New York, 1977.
4. H. KAZI AND E. NEUMAN, Bounds for elliptic integrals, in preparation.
5. J.D. KEČKIĆ AND P.M. VASIĆ, Some inequalities for the gamma function, Publ. Inst. Math. Beograd (New Series), 11 (1971), 107-114.
6. E. NEUMAN AND J. SÁNDOR, On the Schwab-Borchardt mean II, Math. Pannonica, 17(1) (2006), to appear.
7. J.E. PEČARIĆ, F. PROSCHAN AND Y.L. TONG, Convex Functions, Partial Orderings and Statistical Applications, Academic Press, Boston, 1992.
8. J. SÁNDOR, A note on certain inequalities for the gamma function, J. Ineq. Pure Appl. Math., 6(3) (2005), Art. 61. [ONLINE: http://jipam.vu.edu. au/article.php?sid=534