On Steffensen pairs

Journal of Mathematical Analysis and Applications

Volumn 271, Issue 2, 2002, Pages 534-541

  Qi, Feng ^a   Guo, Bai Ni ^a  

^a HENAN POLYTECHNIC UNIVERSITY   (China)

Author keywords

Absolutely monotonic function; Generalized weighted mean values; Mathematical induction; Steffensen inequality; Steffensen pair

Indexed keywords

EID: 0037101533     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00120-8     Document Type: Article

References (9)

1. J.-C. Evard, H. Gauchman, Steffensen type inequalities over general measure spaces, Analysis 17 (1997) 301-322.
2. H. Gauchman, Steffensen pairs and associated inequalities, J. Inequal. Appl. 5 (2000) 53-61.
3. D.S. Mitrinović, J.E. Pečaric, A.M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic, 1993.
4. F. Qi, Generalized weighted mean values with two parameters, Proc. Roy. Soc. London Ser. A 454 (1998) 2723-2732.
5. F. Qi, J.-X. Cheng, G. Wang, New Steffensen pairs, Inequal. Theory Appl. 1 (2002) 273-279;
6. Y.J. Cho, J.K. Kim, S.S. Dragomir (Eds.), RGMIA Res. Rep. Coll. 3 (2000), no. 3, Art. 11, 431-436, available online at http://rgmia.vu.edu.au/v3n3.html.
7. F. Qi, J.-Q. Mei, D.-F. Xia, S.-L. Xu, New proofs of weighted power mean inequalities and monotonicity for generalized weighted mean values, Math. Inequal. Appl. 3 (2000) 377-383.
8. F. Qi, Sh.-Q. Zhang, Note on monotonicity of generalized weighted mean values, Proc. Roy. Soc. London Ser. A 455 (1999) 3259-3260.
9. J.F. Steffensen, On certain inequalities and methods of approximation, J. Inst. Actuaries 51 (1919) 274-297.