Weighted Inequalities Involving P-quasiconcave Operators

by William Desmond Evans, Amiran Gogatishvili, Bohumir Opic

Overview

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.

Product Details

ISBN-13:	9789813239623
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	09/05/2018
Pages:	156
Product dimensions:	6.69(w) x 9.61(h) x 0.44(d)