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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
    Also in:
    Functional analysis and transforms

    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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