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Volumn 6, Issue 4, 2003, Pages 571-579

Convexity according to means

Author keywords

Convex function; Mean; Random variable

Indexed keywords


EID: 0242382527     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-06-53     Document Type: Article
Times cited : (76)

References (19)
  • 2
    • 0003753282 scopus 로고
    • Holt, Rinehart and Winston, New York
    • E. ARTIN, The Gamma Function, Holt, Rinehart and Winston, New York, 1964. English translation of German original, Einführung in die Theorie der Gammafunktion, Teubner, 1931.
    • (1964) The Gamma Function
    • Artin, E.1
  • 3
    • 0010999805 scopus 로고
    • English translation of German original, Teubner
    • E. ARTIN, The Gamma Function, Holt, Rinehart and Winston, New York, 1964. English translation of German original, Einführung in die Theorie der Gammafunktion, Teubner, 1931.
    • (1931) Einführung in die Theorie der Gammafunktion
  • 5
    • 0035621439 scopus 로고    scopus 로고
    • Refined convexity and special cases of the Blaschke-Santalo inequality
    • D. BORWEIN, J. BORWEIN, G. FEE AND R. GIRGENSOHN, Refined convexity and special cases of the Blaschke-Santalo inequality, Math. Inequal. Appl., 4 (2001), 631-638.
    • (2001) Math. Inequal. Appl. , vol.4 , pp. 631-638
    • Borwein, D.1    Borwein, J.2    Fee, G.3    Girgensohn, R.4
  • 6
    • 33646975480 scopus 로고
    • Homogeneous mean values: Weights and asymptotics
    • J. L. BRENNER AND B. C. CARLSON, Homogeneous mean values: weights and asymptotics, J. Math. Anal. Appl., 123 (1987), 265-280.
    • (1987) J. Math. Anal. Appl. , vol.123 , pp. 265-280
    • Brenner, J.L.1    Carlson, B.C.2
  • 8
    • 0011369228 scopus 로고
    • Comparable means and generalized convexity
    • G. T. CARGO, Comparable means and generalized convexity, J. Math. Anal. Appl., 12 ( 1965), 387-392.
    • (1965) J. Math. Anal. Appl. , vol.12 , pp. 387-392
    • Cargo, G.T.1
  • 9
    • 0001583559 scopus 로고
    • Algorithms involving arithmetic and geometric means
    • B. C. CARLSON, Algorithms involving arithmetic and geometric means, Amer. Math. Monthly, 78 (1971), 496-505.
    • (1971) Amer. Math. Monthly , vol.78 , pp. 496-505
    • Carlson, B.C.1
  • 10
    • 0001146444 scopus 로고    scopus 로고
    • Differential and integral F-means and applications to digamma function
    • N. ELEZOVIĆ AND J. PEČARIĆ, Differential and integral F-means and applications to digamma function, Math. Inequal. Appl., 3 (2000), 189-196.
    • (2000) Math. Inequal. Appl. , vol.3 , pp. 189-196
    • Elezović, N.1    Pečarić, J.2
  • 12
    • 84972545497 scopus 로고
    • On the isometries of certain function-spaces
    • J. LAMPERTI, On the isometries of certain function-spaces, Pacific J. Math., 8 (1958), 459-466.
    • (1958) Pacific J. Math. , vol.8 , pp. 459-466
    • Lamperti, J.1
  • 13
    • 23044526402 scopus 로고    scopus 로고
    • Some complements to the Jensen and Chebyshev inequality and a problem of W. Walter
    • S. M. MALAMUD, Some complements to the Jensen and Chebyshev inequality and a problem of W. Walter, Proc. Amer. Math. Soc., 129 (2001), 2671-2678.
    • (2001) Proc. Amer. Math. Soc. , vol.129 , pp. 2671-2678
    • Malamud, S.M.1
  • 14
    • 0242380408 scopus 로고    scopus 로고
    • Convexity with respect to an arbitrary mean
    • J. MATKOWSKI AND J. RÄTZ, Convexity with respect to an arbitrary mean, Int. Ser. Numer. Math., 123 (1997), 231-247.
    • (1997) Int. Ser. Numer. Math. , vol.123 , pp. 231-247
    • Matkowski, J.1    Rätz, J.2
  • 15
    • 0009436920 scopus 로고
    • Sur les functions convexes et les fonctions sousharmoniques
    • P. MONTEL, Sur les functions convexes et les fonctions sousharmoniques, Journal de Math., (9) 7 (1928), 29-60.
    • (1928) Journal de Math. , vol.7 , Issue.9 , pp. 29-60
    • Montel, P.1
  • 16
    • 0013558869 scopus 로고
    • Functions which parametrize means
    • M. E. MAYES, Functions which parametrize means, Amer. Math. Monthly, 90 (1983), 677-683.
    • (1983) Amer. Math. Monthly , vol.90 , pp. 677-683
    • Mayes, M.E.1
  • 17
    • 0037711458 scopus 로고    scopus 로고
    • Convexity according to the geometric mean
    • C. P. NICULESCU, Convexity according to the geometric mean, Math. Inequal. Appl., 3 (2000), 155-167.
    • (2000) Math. Inequal. Appl. , vol.3 , pp. 155-167
    • Niculescu, C.P.1
  • 18
    • 0242348871 scopus 로고    scopus 로고
    • A multiplicative mean value and its applications
    • Nova Science Publishers (USA), Y. J. Cho, S. S. Dragomir and J. Kim, Editors
    • C. P. NICULESCU, A multiplicative mean value and its applications. In: Inequality Theory and Applications vol. 1, pp. 243-256, Nova Science Publishers (USA), 2001. (Y. J. Cho, S. S. Dragomir and J. Kim, Editors)
    • (2001) Inequality Theory and Applications , vol.1 , pp. 243-256
    • Niculescu, C.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.