Author : Opic Bohumir
Publisher : World Scientific
ISBN 13 : 9813239646
Total Pages : 156 pages
Book Rating : 4.47/5 ( download)
Book Synopsis Weighted Inequalities Involving ρ-quasiconcave Operators by : Opic Bohumir
Download or read book Weighted Inequalities Involving ρ-quasiconcave Operators written by Opic Bohumir and published by World Scientific. This book was released on 1999-10-20 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.