Weighted Inequalities Involving P-quasiconcave Operators

Released on by William Desmond Evans
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  • Weighted Inequalities Involving P-quasiconcave Operators Book Detail

  • Author : William Desmond Evans
  • Release Date : 2018-07-18
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 157
  • ISBN 13 : 9813239646
  • File Size : 13,13 MB
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Weighted Inequalities Involving P-quasiconcave Operators by William Desmond Evans PDF Summary

Book Description: Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes of quasiconcave functions on the interval I=(a,b) ∊ R. In this book we analyse the class Qρ(I) of ρ-quasiconcave functions in a complete generality in order to establish results needed for a comprehensive study of weighted inequalities on the class Qρ(I). We illustrate our results on weighted inequalities of Hardy type, on weighted inequalities of Hardy type involving supremum, and on reverse forms of these inequalities.

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