Weighted Inequalities Involving P-quasiconcave Operators

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

• Authors: Amiran Amiran Gogatishvili, William Desmond Evans, W. D. Evans, William Desmond Evans, William Desmond (Cardiff Univ Evans, Evans William Desmond, Amiran Gogatishvili, Amiran (Academy Of Sciences Of The Czech Republic Gogatishvili, Gogatishvili Amiran, Bohumir Opic, Bohumír Opic, Bohumir (Charles Univ Opic, Bohumir Opic Et Al, William Desmond Evans, Amiran Gogatishvi William Desmond Evans
• Publisher: World Scientific Publishing
• Languages: English
• Product format: Hardback
• Released: 30.09.2018
• EAN: 9789813239623
• ISBN: 978-981-3239-62-3
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Functional Analysis, Functional analysis & transforms, Functional analysis and transforms