Approximation Theory, Sequence Spaces and Applications

This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book. 

S. A. Mohiuddine is a full professor of Mathematics at King Abdulaziz University, Jeddah, Saudi Arabia. An active researcher, he has co-authored four books: Convergence Methods for Double Sequences and Applications (Springer, 2014), Advances in Summability and Approximation Theory (Springer, 2018), Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences, Sequence Space Theory with Applications, and a number of chapters in several edited book and has contributed more than 150 research papers to various leading journals. He is the referee of many scientific journals and member of the editorial board of various scientific journals, international scientific bodies and organizing committees. He has visited several international universities including Imperial College London, UK. He was a guest editor of a number of special issues for Abstract and Applied Analysis, Journal of Function Spaces and Scientific World Journal. His research interests are in the fields of sequence spaces, statistical convergence, matrix transformation, measures of non-compactness and approximation theory. His name was in the list of World’s Top 2% Scientists (2020) prepared by Stanford University, California.

Bipan Hazarika is a professor at the Department of Mathematics, Gauhati University, Guwahati, India. Earlier, he was a professor at Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, India, from 2005–2017. He received his Ph.D. degree from Gauhati University. His main research interests are in the field of sequence spaces, summability theory, applications of fixed point theory, fuzzy analysis, and function spaces of non-absolute integrable functions. He has published more than 150 research papers in several international journals. He is on the editorial boards of more than 5 international journals and a regular reviewer of more than 50 other journals. He has published a number of books on differential equations, differential calculus, and integral calculus. He was the guest editor of the special issue “Sequence Spaces, Function Spaces and Approximation Theory”, of the Journal of Function Spaces.

Hemant Kumar Nashine is a professor at the Vellore Institute of Technology, Tamil Nadu, India. As a Nehru–Fulbright fellow, he is a visiting professor at the University of Johannesburg, South Africa. He specializes in nonlinear functional analysis and its applications to differential and integral equations, and nonlinear matrix equations. He has more than 150 peer-reviewed publications to his credit, as well as the author of several chapters. He is an editor and a lead editor for a number of international publications, as well as a member of a number of mathematical societies.