Weighted Inequalities Involving P-quasiconcave Operators

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?-quasiconcave Functions and Operators
A01=Amiran Gogatishvili
A01=Bohumir Opic
A01=William Desmond Evans
A?A?-quasiconcave Functions and Operators
Antidiscretization
Author_Amiran Gogatishvili
Author_Bohumir Opic
Author_William Desmond Evans
Category=PBKF
Discretization
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Weighted Inequalities

Product details

  • ISBN 9789813239623
  • Publication Date: 05 Sep 2018
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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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