Mathematical Analysis and Applications: Selected Topics
This book presents the theory, methods, and applications of mathematical analysis. Each chapter aims at enriching the understanding of current research problems, theories, and applications on the chosen topics. This book contains contributions from several international contributors who have been selected based on their research reputations and present standing in their respective fields. This book is presented in a self-contained manner by providing an idea of the proof of all results and also giving enough references to enable the interested reader to follow subsequent studies in a still-developing field. Chapter topics include generalized convex functions and their applications, coupled fixed point problems via fixed point theory, and the corona problem and Carleson measures. This book also contains chapters on applications of singular integral operators and commutators, Euler sums with multiple argument, and properties and generalizations of the Catalan, Fuss, and Fuss--Catalan numbers.