대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제50권3호
  • /
  • Pages.901-914
  • /
  • 2013
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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INTERPOLATIONS FOR HÖLDER'S INEQUALITY

  • 투고 : 2012.04.10
  • 발행 : 2013.05.31
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초록

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.

키워드

참고문헌

  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