A New Hilbert-type integral inequality with a non-homogeneous kernel and its extension

  • Abstract
  • Keywords
  • References
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  • Abstract

    By introducing some parameters , using the weight function and the technique of real analysis, a new  Hilbert-type integral inequality with a non-homogeneous kernel as \(\frac{1}{|1-axy|^{\lambda_2}}(a\geq1)\) and its equivalent form are established. As application, the constant factor on the plane is the best value and its extension form with some parameters is also considered.

  • Keywords

    Some parameters; Hilbert-Type Integral Inequality; Best value; Extension.

  • References

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Article ID: 5608
DOI: 10.14419/gjma.v4i3.5608

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