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Volumn 52, Issue 1, 2009, Pages 89-92

A simple proof of logarithmic convexity of extended mean values

Author keywords

Extended mean values; Logarithmic convexity; Simple proof

Indexed keywords


EID: 68949093412     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-008-9259-7     Document Type: Article
Times cited : (26)

References (11)
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    • Logarithmic convexity of extended mean values
    • Qi, F.: Logarithmic convexity of extended mean values. Proc. Am. Math. Soc. 130(6), 1787-1796 (2002).
    • (2002) Proc. Am. Math. Soc. , vol.130 , Issue.6 , pp. 1787-1796
    • Qi, F.1
  • 6
    • 0013198228 scopus 로고    scopus 로고
    • Logarithmic convexities of the extended mean values
    • Art. 5
    • Qi, F.: Logarithmic convexities of the extended mean values. RGMIA Res. Rep. Coll. 2(5), Art. 5, 643-652 (1999). http://www.staff.vu.edu.au/rgmia/v2n5.asp.
    • (1999) RGMIA Res. Rep. Coll. , vol.2 , Issue.5 , pp. 643-652
    • Qi, F.1
  • 7
    • 27844479859 scopus 로고    scopus 로고
    • The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications
    • Qi, F.: The extended mean values: definition, properties, monotonicities, comparison, convexities, generalizations, and applications. Cubo Mat. Educ. 5(3), 63-90 (2003).
    • (2003) Cubo Mat. Educ. , vol.5 , Issue.3 , pp. 63-90
    • Qi, F.1
  • 8
    • 29144536633 scopus 로고    scopus 로고
    • The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications
    • Art. 5
    • Qi, F.: The extended mean values: definition, properties, monotonicities, comparison, convexities, generalizations, and applications. RGMIA Res. Rep. Coll. 5(1), Art. 5, 57-80 (2002). http://www.staff.vu.edu.au/rgmia/v5n1.asp.
    • (2002) RGMIA Res. Rep. Coll. , vol.5 , Issue.1 , pp. 57-80
    • Qi, F.1
  • 9
    • 0031176236 scopus 로고    scopus 로고
    • Refinements and extensions of an inequality, II
    • Qi, F., Xu, S.-L.: Refinements and extensions of an inequality, II. J. Math. Anal. Appl. 211(2), 616-620 (1997).
    • (1997) J. Math. Anal. Appl. , vol.211 , Issue.2 , pp. 616-620
    • Qi, F.1    Xu, S.-L.2
  • 10
    • 22444453218 scopus 로고    scopus 로고
    • x)/x: Inequalities and properties
    • x)/x: inequalities and properties. Proc. Am. Math. Soc. 126(11), 3355-3359 (1998).
    • (1998) Proc. Am. Math. Soc. , vol.126 , Issue.11 , pp. 3355-3359
    • Qi, F.1    Xu, S.-L.2
  • 11
    • 0002603040 scopus 로고
    • Generalizations of the logarithmic mean
    • Stolarsky, K.B.: Generalizations of the logarithmic mean. Mag. Math. 48, 87-92 (1975).
    • (1975) Mag. Math. , vol.48 , pp. 87-92
    • Stolarsky, K.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.