Note on monotonicity of generalized weighted mean values

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1989, 1999, Pages 3259-3260

  Qi, Feng ^a,b   Zhang, Shi Qin ^a  

^a HENAN POLYTECHNIC UNIVERSITY   (China)

^b Nanyang Teacher's College   (China)

Author keywords

Cauchy schwarz buniakowski inequality; Generalized weighted mean values; Monotonicity

Indexed keywords

EID: 33746437090     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0449     Document Type: Article

References (5)

1. Mitrinovic, D. S. 1970 Analytic inequalities. Springer.
2. Qi, F. 1998 Generalized weighted mean values with two parameters. Proc. R. Soc. Land. A 454, 2723-2732.
3. Qi, F. &: Luo, Q.-M. 1998 A simple proof of monotonicity for extended mean values. J. Math. Analysis Applic. 224, 356-359.
4. Qi, F., Xu, S.-L. & Debnath, L. 1999a A new proof of monotonicity for extended mean values. Int. J. Math. Math. Sei. 22, 415-420.
5. Qi, F., Mei, J.-Q. & Xu, S.-L. 19996 Another proof of monotonicity for generalized weighted mean values. RGMIA Research Report Collection 2, no. 2. (In the press.)