Browse > Article
http://dx.doi.org/10.4134/BKMS.2013.50.3.901

INTERPOLATIONS FOR HÖLDER'S INEQUALITY  

Izuchi, Kei Ji (Department of Mathematics Niigata University)
Izuchi, Kou Hei (Department of Mathematics Faculty of Education Yamaguchi University)
Ohno, Shuichi (Nippon Institute of Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 901-914 More about this Journal
Abstract
Kwon and Bae gave an interpolation for a continuous form of H$\ddot{o}$lder's inequality for a real-valued bounded measurable function on a product of measure spaces. It is given some generalizations of their result.
Keywords
interpolation; H$\ddot{o}$lder's inequality; continuous form of H$\ddot{o}$lder's inequality;
Citations & Related Records
연도 인용수 순위
  • Reference
1 G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge University Press, Cambridge, 1952.
2 E. G. Kwon, Extension of Holder's inequality. I, Bull. Austral. Math. Soc. 51 (1995), 369-375.   DOI
3 E. G. Kwon and E. K. Bae, On a continuous form of Holder inequality, J. Math. Anal. Appl. 343 (2008), no. 1, 585-592.   DOI   ScienceOn
4 W. Rudin, Real and Complex Analysis, Third Edition, McGraw-Hill, New York, 1987.
5 X. Yang, A generalization of Holder's inequality, J. Math. Anal. Appl. 247 (2000), no. 1, 328-330.   DOI   ScienceOn