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Volumn 231, Issue 1, 1999, Pages 76-90

Representations of Error Terms in Jensen's and Some Related Inequalities with Applications

Author keywords

Convexity; Diagamma function; Gamma function; Jensen's inequality

Indexed keywords


EID: 0040209543     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6214     Document Type: Article
Times cited : (13)

References (9)
  • 1
    • 85171841264 scopus 로고
    • Some elementary inequalities relating to the gamma and incomplete gamma function
    • Gautschi W. Some elementary inequalities relating to the gamma and incomplete gamma function. J. Math. Phys. 38:1959;77-81.
    • (1959) J. Math. Phys. , vol.38 , pp. 77-81
    • Gautschi, W.1
  • 2
    • 84890486698 scopus 로고
    • An inequality satisfied by the gamma function
    • Gurland J. An inequality satisfied by the gamma function. Skand. Aktuarietidiskr. 39:1956;171-172.
    • (1956) Skand. Aktuarietidiskr. , vol.39 , pp. 171-172
    • Gurland, J.1
  • 3
    • 0039617802 scopus 로고
    • Bemerkungen zur differenzengleichunggxgxx
    • Krull W. Bemerkungen zur differenzengleichunggxgxx. Math. Nachr. 1:1948;365-376.
    • (1948) Math. Nachr. , vol.1 , pp. 365-376
    • Krull, W.1
  • 6
    • 0030587988 scopus 로고    scopus 로고
    • Logarithmic convexity and inequalities for the gamma function
    • Merkle M. Logarithmic convexity and inequalities for the gamma function. J. Math. Anal. Appl. 203:1996;369-380.
    • (1996) J. Math. Anal. Appl. , vol.203 , pp. 369-380
    • Merkle, M.1
  • 7
    • 0032341719 scopus 로고    scopus 로고
    • Convexity, Schur-convexity and bounds for the gamma function involving the digamma function
    • Merkle M. Convexity, Schur-convexity and bounds for the gamma function involving the digamma function. Rocky Mountain J. Math. 28:1998.
    • (1998) Rocky Mountain J. Math. , vol.28
    • Merkle, M.1
  • 8
    • 0010104488 scopus 로고    scopus 로고
    • Conditions for convexity of a derivative and some applications to the gamma function
    • Merkle M. Conditions for convexity of a derivative and some applications to the gamma function. Aequationes Math. 55:1998;273-280.
    • (1998) Aequationes Math. , vol.55 , pp. 273-280
    • Merkle, M.1
  • 9
    • 0041882790 scopus 로고
    • Note on the gamma function
    • Wendel J. G. Note on the gamma function. Amer. Math. Monthly. 55:1948;653-654.
    • (1948) Amer. Math. Monthly , vol.55 , pp. 653-654
    • Wendel, J.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.