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Book Synopsis
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.

Weighted Inequalities Involving P-quasiconcave

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    A Hardback by William Desmond Evans, Amiran Gogatishvili, Bohumir Opic

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      View other formats and editions of Weighted Inequalities Involving P-quasiconcave by William Desmond Evans

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 05/09/2018
      ISBN13: 9789813239623, 978-9813239623
      ISBN10: 981323962X

      Description

      Book Synopsis
      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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