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A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel

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  • Qiong Liu
  • Wenbing Sun

Abstract

We first introduce -function and Riemann -function to characterize the constant factor jointly. A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel is given using the way of weight function and the technique of real analysis. The equivalent form is considered and its constant factors are proved to be the best possible. Some meaningful results are obtained by taking the special parameter values.

Suggested Citation

  • Qiong Liu & Wenbing Sun, 2014. "A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, June.
    • Handle: RePEc:hin:jnlaaa:674874
    DOI: 10.1155/2014/674874
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