On Properties for Some Modified Kantorovich-Type Operators. One or Multiple Variable; Approximation for in different space; Applications

      Аннотация: The main purpose of this book is to present a recent part of studies about modified Kantorovich-type operators together with their main applications about approximation properties. A lot of papers have appeared on such topics, generally in all chapters we mention one of them.The book is mainly intended as a reference text for researches in the field. A large part of it can also serve other books, papers and their references therein. The organization of materials does not follow the historical development of the subject and allow us to present the most important parts of the development of theory in concise way. This book consists of seven chapters in order to investigate the application properties of some modified Kantorovich-type operators(KTO) in polynomial weighted space of one variable and multiple variable. Also, in this book we give also some graphics to show the speed of approximation for some linear positive operators. This represents the originality of the book and I hope it will be useful to all researchers.

Ключевые слова: weighted spaces, Voronovskaya theorem, Approximation, linear positive operators, Kantorovich-type operators, modulus of continuity