메뉴 건너뛰기




Volumn 9, Issue 2, 2006, Pages 219-224

An alternative note on the schur-convexity of the extended mean values

Author keywords

Extended mean values; Schur convexity

Indexed keywords


EID: 33646794042     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-09-22     Document Type: Article
Times cited : (45)

References (23)
  • 1
    • 33646359498 scopus 로고    scopus 로고
    • Handbook of means and their inequalities
    • Kluwer Academic Publishers, Dordrecht
    • P. S. BULLEN, Handbook of Means and Their Inequalities, Mathematics and its Applications (Dordrecht) 560, Kluwer Academic Publishers, Dordrecht, 2003.
    • (2003) Mathematics and Its Applications (Dordrecht) , vol.560
    • Bullen, P.S.1
  • 2
    • 33646795159 scopus 로고    scopus 로고
    • An alternative proof of monotonicity for the extended mean values
    • Art. 11
    • CH.-P. CHEN, F. QI, An alternative proof of monotonicity for the extended mean values, Austral. J. Math. Anal. Appl., 1, (2) (2004), Art. 11. Available online at URL: http://ajmaa.org/cgi-bin/paper.pl?string=v1n2/V1I2P11.tex.
    • (2004) Austral. J. Math. Anal. Appl. , vol.1 , Issue.2
    • Chen, Ch.-P.1    Qi, F.2
  • 3
    • 33646808451 scopus 로고    scopus 로고
    • Another proof of monotonicity for the extended mean values
    • accepted
    • CH.-P. CHEN, F. QI, Another proof of monotonicity for the extended mean values, Tamkang J. Math. 37, (3) (2006), accepted.
    • (2006) Tamkang J. Math. , vol.37 , Issue.3
    • Chen, Ch.-P.1    Qi, F.2
  • 5
    • 0005592890 scopus 로고    scopus 로고
    • Elementary proofs of monotonicity for extended mean values of some functions with two parameters
    • Chinese
    • B.-N. GUO, SH.-Q. ZHANG AND F. QI. Elementary proofs of monotonicity for extended mean values of some functions with two parameters, Shùxué de Shíjiàn yǔ Rènshi (Math. Practice Theory) 29, (2) (1999), 169-174. (Chinese)
    • (1999) Shùxué de Shíjiàn Yǔ Rènshi (Math. Practice Theory) , vol.29 , Issue.2 , pp. 169-174
    • Guo, B.-N.1    Zhang, Sh.-Q.2    Qi, F.3
  • 9
    • 0001122213 scopus 로고
    • Inequalities for differences of powers
    • Z. PÁLES, Inequalities for differences of powers, J. Math. Anal. Appl. 131, ( 1988), 271-281.
    • (1988) J. Math. Anal. Appl. , vol.131 , pp. 271-281
    • Páles, Z.1
  • 11
    • 27844528620 scopus 로고    scopus 로고
    • A note on Schur-convexity of extended mean values
    • F. QI, A note on Schur-convexity of extended mean values. Rocky Mountain 1. Math. 35, (5) (2005), 1787-1793.
    • (2005) Rocky Mountain 1. Math. , vol.35 , Issue.5 , pp. 1787-1793
    • Qi, F.1
  • 12
    • 0035994067 scopus 로고    scopus 로고
    • Logarithmic convexity of extended mean values
    • F. QI, Logarithmic convexity of extended mean values, Proc. Amer. Math. Soc. 130, (6) (2002), 1787-1796.
    • (2002) Proc. Amer. Math. Soc. , vol.130 , Issue.6 , pp. 1787-1796
    • Qi, F.1
  • 13
    • 0013198228 scopus 로고    scopus 로고
    • Logarithmic convexities of the extended mean values
    • Art. 5
    • F. QI, Logarithmic convexities of the extended mean values, ROMIA Res. Rep. Coll. 2, (5) (1999), Art. 5, 643-652. Available online at URL: http://rgmia.vu.edu.au/v2n5.html.
    • (1999) ROMIA Res. Rep. Coll. , vol.2 , Issue.5 , pp. 643-652
    • Qi, F.1
  • 14
    • 27844572645 scopus 로고    scopus 로고
    • Schur-convexity of the extended mean values
    • Art. 4
    • F. QI, Schur-convexity of the extended mean values, RGMIA Res. Rep. Coll. 4, (4) (2001), Art. 4, 529-533. Available online at URL: http://rgmia.vu.edu. au/v4n4.html.
    • (2001) RGMIA Res. Rep. Coll. , vol.4 , Issue.4 , pp. 529-533
    • Qi, F.1
  • 15
    • 27844479859 scopus 로고    scopus 로고
    • The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications
    • F. QI, The extended mean values: definition, properties, monotonicities, comparison, convexities, generalizations, and applications, Cubo Mat. Educ. 5, (3) (2003), 63-90.
    • (2003) Cubo Mat. Educ. , vol.5 , Issue.3 , pp. 63-90
    • Qi, F.1
  • 16
    • 27844527702 scopus 로고    scopus 로고
    • Art. 5
    • RGMIA Res. Rep. Coll. 5, (1) (2002), Art. 5, 57-80. Available online at URL: http://rgmia.vu.edu.au/v5n1.html.
    • (2002) RGMIA Res. Rep. Coll. , vol.5 , Issue.1 , pp. 57-80
  • 17
    • 0000990016 scopus 로고    scopus 로고
    • A simple proof of monotonicity for extended mean values
    • F. QI, Q.-M. LUO, A simple proof of monotonicity for extended mean values, J. Math. Anal. Appl., 224, (2) (1998), 356-359.
    • (1998) J. Math. Anal. Appl. , vol.224 , Issue.2 , pp. 356-359
    • Qi, F.1    Luo, Q.-M.2
  • 18
    • 27844495192 scopus 로고    scopus 로고
    • Notes on the Schur-convexity of the extended mean values
    • F. QI, J. SÁNDOR, S. S. DRAGOMIR AND A. SOFO, Notes on the Schur-convexity of the extended mean values, Taiwanese J. Math. 9, (3) (2005), 411-420.
    • (2005) Taiwanese J. Math. , vol.9 , Issue.3 , pp. 411-420
    • Qi, F.1    Sándor, J.2    Dragomir, S.S.3    Sofo, A.4
  • 19
    • 33645160725 scopus 로고    scopus 로고
    • Art. 3
    • RGMIA Res. Rep. Coll. 5, (1) (2002), Art. 3, 19-27. Available online at URL: http://rgmia.vu.edu.au/v5n1.html.
    • (2002) RGMIA Res. Rep. Coll. , vol.5 , Issue.1 , pp. 19-27
  • 20
    • 22444453218 scopus 로고    scopus 로고
    • x)/x: Inequalities and properties
    • x)/x: Inequalities and properties, Proc. Amer. Math. Soc. 126, (11) (1998), 3355-3359.
    • (1998) Proc. Amer. Math. Soc. , vol.126 , Issue.11 , pp. 3355-3359
    • Qi, F.1    Xu, S.-L.2
  • 21
    • 0000310946 scopus 로고    scopus 로고
    • A new proof of monotonicity for extended mean values
    • F. QI, S.-L. XU AND L. DEBNATH, A new proof of monotonicity for extended mean values, Internat. J. Math. Math, Sci., 22, (2) (1999), 415-420.
    • (1999) Internat. J. Math. Math, Sci. , vol.22 , Issue.2 , pp. 415-420
    • Qi, F.1    Xu, S.-L.2    Debnath, L.3
  • 22
    • 0002603040 scopus 로고
    • Generalizations of the logarithmic mean
    • K. B. STOLARSKY, Generalizations of the logarithmic mean, Mag. Math., 48, (1975), 87-92.
    • (1975) Mag. Math. , vol.48 , pp. 87-92
    • Stolarsky, K.B.1
  • 23
    • 33646803658 scopus 로고
    • Beijing Normal University Press, Beijing, China, Chinese
    • B.-Y. WANG, Kòngzhi Bùděngshì Jíchǔ, Beijing Normal University Press, Beijing, China, 1990. (Chinese
    • (1990) Kòngzhi Bùděngshì Jíchǔ
    • Wang, B.-Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.