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 Q (I) of -quasiconcave functions in a complete generality in order to establish results needed for a comprehensive study of weighted inequalities on the class Q (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.
- ISBN13 9789813239623
- Publish Date 5 September 2018
- Publish Status Active
- Publish Country SG
- Imprint World Scientific Publishing Co Pte Ltd
- Format Hardcover
- Pages 156
- Language English
- URL https://worldscientific.com/worldscibooks/10.1142/10974