메뉴 건너뛰기




Volumn 454, Issue 1978, 1998, Pages 2723-2732

Generalized weighted mean values with two parameters

Author keywords

Absolutely monotonic function; Basic property; Monotonicity; Tchebycheff's integral inequality; Two parameters; Weighted mean values

Indexed keywords


EID: 0000407393     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0277     Document Type: Article
Times cited : (54)

References (26)
  • 1
    • 33746797171 scopus 로고
    • On Stolarsky's mean value family
    • Alzer, H. 1987 On Stolarsky's mean value family. Int. J. Math. Educat. Sci. Tech. 20(1), 186-189.
    • (1987) Int. J. Math. Educat. Sci. Tech. , vol.20 , Issue.1 , pp. 186-189
    • Alzer, H.1
  • 3
    • 0000648833 scopus 로고
    • The logarithmic mean
    • Carlson, B. C. 1972 The logarithmic mean. Am. Math. Monthly 79, 615-618.
    • (1972) Am. Math. Monthly , vol.79 , pp. 615-618
    • Carlson, B.C.1
  • 4
    • 0005072879 scopus 로고
    • Contributi alla teoria delle medie I
    • Cisbani, R. 1938 Contributi alla teoria delle medie I. Metron 13(2), 23-34.
    • (1938) Metron , vol.13 , Issue.2 , pp. 23-34
    • Cisbani, R.1
  • 5
    • 33746854934 scopus 로고
    • Refinements of Ostle - Terwilliger's inequality
    • In Chinese
    • Chen, J. & Shu, H. 1988 Refinements of Ostle - Terwilliger's inequality. Shuxue Tongxun, no. 3, pp. 7-8. (In Chinese.)
    • (1988) Shuxue Tongxun , vol.3 , pp. 7-8
    • Chen, J.1    Shu, H.2
  • 6
    • 25844508389 scopus 로고
    • Dei limiti a cui tendono alcune media
    • Galvani, L. 1927 Dei limiti a cui tendono alcune media. Boll. Un. Mat. Ital. 6, 173-179.
    • (1927) Boll. Un. Mat. Ital. , vol.6 , pp. 173-179
    • Galvani, L.1
  • 8
  • 11
    • 0001280842 scopus 로고
    • The power mean and the logarithmic mean
    • Lin, T.-P. 1974 The power mean and the logarithmic mean. Am. Math. Monthly 81, 879-883.
    • (1974) Am. Math. Monthly , vol.81 , pp. 879-883
    • Lin, T.-P.1
  • 14
    • 0001122213 scopus 로고
    • Inequalities for differences of powers
    • Páles, Z. 1988 Inequalities for differences of powers. J. Math. Analyt. Appl. 131, 271-281.
    • (1988) J. Math. Analyt. Appl. , vol.131 , pp. 271-281
    • Páles, Z.1
  • 16
    • 0005596833 scopus 로고    scopus 로고
    • Refinements and extensions of an inequality
    • In the press
    • Qi, F. 1998a Refinements and extensions of an inequality. Math. Informatics Q. (In the press.)
    • (1998) Math. Informatics Q
    • Qi, F.1
  • 17
    • 0005557874 scopus 로고    scopus 로고
    • On a two-parameter family of nonhomogeneous mean values
    • Qi, F. 1998b On a two-parameter family of nonhomogeneous mean values. Tamkang J. Math. 29(2).
    • (1998) Tamkang J. Math. , vol.29 , Issue.2
    • Qi, F.1
  • 18
    • 0000990016 scopus 로고    scopus 로고
    • A simple proof of monotonicity for extended mean values
    • In the press
    • Qi, F. & Luo, Q. 1998 A simple proof of monotonicity for extended mean values. J. Math. Analyt. Appl. (In the press.)
    • (1998) J. Math. Analyt. Appl.
    • Qi, F.1    Luo, Q.2
  • 19
    • 0031176236 scopus 로고    scopus 로고
    • Refinements and extensions of an inequality. II
    • Qi, F. & Xu, S. 1997 Refinements and extensions of an inequality. II. J. Math. Analyt. Appl. 211, 616-620.
    • (1997) J. Math. Analyt. Appl. , vol.211 , pp. 616-620
    • Qi, F.1    Xu, S.2
  • 20
    • 22444453218 scopus 로고    scopus 로고
    • x)/x: Inequalities and properties
    • In the press
    • x)/x: inequalities and properties. Proc. Am. Math. Soc. (In the press.)
    • (1998) Proc. Am. Math. Soc.
    • Qi, F.1    Xu, S.2
  • 21
    • 0002603040 scopus 로고
    • Generalizations of the logarithmic mean
    • Stolarsky, K. B. 1975 Generalizations of the logarithmic mean. Math. Mag. 48, 87-92.
    • (1975) Math. Mag. , vol.48 , pp. 87-92
    • Stolarsky, K.B.1
  • 24
    • 0002654760 scopus 로고
    • A two-parameter homogeneous mean value
    • Tobey, M. D. 1967 A two-parameter homogeneous mean value. Proc. Am. Math. Soc. 18, 9-14.
    • (1967) Proc. Am. Math. Soc. , vol.18 , pp. 9-14
    • Tobey, M.D.1
  • 26
    • 0013512978 scopus 로고
    • Generalizations of the logarithmic mean
    • Yang, R. & Cao, D. 1989 Generalizations of the logarithmic mean. J. Ningbo Univ. 2(2), 105-108.
    • (1989) J. Ningbo Univ. , vol.2 , Issue.2 , pp. 105-108
    • Yang, R.1    Cao, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.