ON HUA'S INEQUALITY FOR COMPLEX NUMBERS

Authors

  • C. E. M. PEARCE Department of Applied Mathematics, Adelaide University, Adelaide SA 5005, Australia.
  • J. PECARIC Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 11000 Zagreb, Croatia

DOI:

https://doi.org/10.5556/j.tkjm.28.1997.4314

Keywords:

Hua's inequality, complex numbers, convex functions

Abstract

A generalization of Hua's inequality is given for complex numbers that involves complex functions. An improvement is derived for Hua's inequality and for two recent extensions of it to the complex domain.

References

N. G. de Bruijn, "Problem R," Wisk. Opgaven, 21 (1960), 12-14.

S. S. Dragomir, "Hua's inequality for complex numbers," Tamkang , J Math., 26 (1995), 257-260.

R. Drnovsek, "An operator generalization of the Lo-Keng Hua inequality," J. Math. Anal. Appl., 196 (1995), 1135-1138.

L.-K. Hua, "Additive theory of prime numbers," Translat. of Math. Monographs, 13, Amer. Math. Soc., Providence, RI, 1965

D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, "Classical and new inequalities in analysis,"Kluwer Acad. Publ., Dordrecht-Boston-London, 1993 "

C. E. M. Pearce and J. E. Pecane, A remark on the Lo-Keng Hua inequality, J. Math. Anal. Appl., 188 (1994), 700-702

C.-L. Wang, "Lo-Keng Hua inequality and dynamic programming," J. Math. Anal. Appl., 166 (1992), 345-350

G.-S. Yang and B.-K. Han, "A note on Hua's inequality for complex numbers," Tamkang J. Math., 27 (1996), 99-102

Downloads

Published

1997-09-01

How to Cite

PEARCE, C. E. M., & PECARIC, J. (1997). ON HUA’S INEQUALITY FOR COMPLEX NUMBERS. Tamkang Journal of Mathematics, 28(3), 193-199. https://doi.org/10.5556/j.tkjm.28.1997.4314

Issue

Section

Papers