This book is about the -quantum inequalities. This book covers a range of generalized quantum inequalities in detail. It begins with the basic calculus of the -quantum operator and then explores various types of inequalities. The content is presented in a straightforward manner and is aimed at senior undergraduate and postgraduate students in engineering and science programs. The book consists of six chapters, and almost all of the material is new and represents the authors' original work. The chapters are organized in a way that is easy to follow, and each chapter concludes with a section containing practical problems.
Elements of Generalized Quantum Calculus.- First-order -Quantum
Differential Inequalities.- Basic -Inequalities.- -Wirtinger-Type
Inequalities.- -Opial-Type Inequalities.- -Lyapunov-Type Inequalities.
Dr. Sanket Tikare is an assistant professor in the Department of Mathematics, at Ramniranjan Jhunjhunwala College, which is an empowered autonomous college affiliated with the University of Mumbai, India. He completed Ph.D. in Mathematics, from Shivaji University, Kolhapur, India, in the year 2012. He specializes in applied analysis. His research areas of interest include differential equations, difference equations, dynamic equations on time scales, quantum calculus and equations.
Svetlin G. Georgiev is a mathematician who works on various aspects of mathematics. Currently, he focuses on ordinary and partial differential equations, differential geometry, dynamic geometry on time scales, integral equations on time scales, theory of distributions and harmonic analysis.
