IJPAM: Volume 72, No. 3 (2011)
WITH WEIGHTS AND ITS APPLICATIONS
Department of Mathematics and Computer Science
Jishou Hunan , 416000, P.R. CHINA
School of Mathematical Sciences
South China Normal University
Guangzhou, 510631, P.R. CHINA
Abstract. By introducing a power-exponent function with the form and two pairs of conjugate exponents, an extended Hardy-Hilbert's integral inequality was established. As applications, some extensions of Hardy-Littlewood's integral inequality are also given.
Received: October 7, 2010
AMS Subject Classification: 26D15
Key Words and Phrases: Power-exponent function, weight function, integral inequality, conjugate exponent
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395