Reciprocally convex functions

Journal of Mathematical Analysis and Applications

Volumn 293, Issue 1, 2004, Pages 210-218

  Merkle, Milan ^a  

^a Faculty of Electrical Engineering   (Yugoslavia)

Author keywords

Convexity; Gamma function; Mathematical expectation; Quasi arithmetic means; Reciprocal convexity; Stieltjes transform

Indexed keywords

EID: 2342560615     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.12.021     Document Type: Article

References (8)

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2. C. Berg, H.L. Pedersen, A completely monotone function related to the gamma function, J. Comput. Appl. Math. 133 (2001) 219-230.
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4. A. Erdélyi, W. Magnus, F. Oberhettiner, F. Tricomi, Higher Transcendental Functions, McGraw-Hill, New York, 1953.
5. W. Jarczyk, J. Matkowski, On Mulholland's inequality, Proc. Amer. Math. Soc. 130 (2002) 3243-3247.
6. M. Merkle, Logarithmic convexity and inequalities for the gamma function, J. Math. Anal. Appl. 203 (1996) 369-380.
7. D.S. Mitrinović, Analytic Inequalities, Springer-Verlag, Berlin, 1970.
8. A.W. Roberts, D.E. Varberg, Convex Functions, Academic Press, New York, 1973.