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An improvement of Hölder’s inequality with r-conjugate exponents relative to Lp-norm
  • Xiaojun Liang,
  • Aying Wan
Xiaojun Liang
Hulunbuir College
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Aying Wan
Hulunbuir College
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Abstract

This paper investigates the Hölder’s inequality under the condition r-conjugate exponents in the sense that ∑1/p_k=1/r. Successively, we have, under r-conjugate exponents relative to the Lp-norm, investigated generalized Hölder’s inequality, the interpolation of Hölder’s inequality, and generalized s-order Hölder’s inequality which is an expansion of the known Hölder’s inequality.