ON HUA'S INEQUALITY FOR COMPLEX NUMBERS

Article Sidebar

PDF
Published: Sep 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.28.1997.4314
Keywords:
Hua's inequality complex numbers convex functions

Main Article Content

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

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.




Article Details

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
Vol. 28 No. 3 (1997)
Section
Papers
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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