Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

INTERPOLATIONS FOR HÖLDER'S INEQUALITY

  • Received : 2012.04.10
  • Published : 2013.05.31
Download PDF
⟨ Previous Next ⟩

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

References

  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. https://doi.org/10.1017/S0004972700014192
  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. https://doi.org/10.1016/j.jmaa.2008.01.057
  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. https://doi.org/10.1006/jmaa.2000.6873