INTERPOLATIONS FOR HÖLDER`S INEQUALITY

Title & Authors
INTERPOLATIONS FOR HÖLDER`S INEQUALITY
Izuchi, Kei Ji; Izuchi, Kou Hei; Ohno, Shuichi;

Abstract
Kwon and Bae gave an interpolation for a continuous form of H$\small{\ddot{o}}$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$\small{\ddot{o}}$lder`s inequality;continuous form of H$\small{\ddot{o}}$lder`s inequality;
Language
English
Cited by
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.

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.

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.