This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter.
The book's results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, as well as Science and Engineering University...
This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-cont...
This monograph contains the author's work of the last four years in discrete and fractional analysis. It introduces the right delta and right nabla fractional calculus on time scales and continues with the right delta and right nabla discrete fractional calculus in the Caputo sense. Then, it shows representation formulae of functions on time scales and presents Ostrowski type inequalities, Landau type inequalities, Grüss type and comparison of means inequalities, all these over time scales. The volume continues with integral operator inequalities and their multivariate vectorial...
This monograph contains the author's work of the last four years in discrete and fractional analysis. It introduces the right delta and right nabla fr...
This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book.The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular...
This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independentl...
In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others extending the classical Newton method theory which requires usual differentiability of function.
Chapters are self-contained and can be read independently and several advanced courses can be taught out of this book. An...
In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional int...
Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory, this volume is a collection of the best contributions at the Third International Conference on Applied Mathematics and Approximation Theory, an international conference held at TOBB University of Economics and Technology in Ankara, Turkey, on May 28-31, 2015. The goal of the conference, and this volume, is to bring together key work from researchers in all areas of approximation theory, covering topics such as ODEs, PDEs, difference equations, applied analysis,...
Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory, this volume is a coll...
This specialvolume is a collection of outstanding more applied articles presented in AMAT2015 held in Ankara, May 28-31, 2015, at TOBB Economics and TechnologyUniversity.The collectionis suitable for Applied and Computational Mathematics and Engineeringpractitioners, also for related graduate students and researchers.
This specialvolume is a collection of outstanding more applied articles presented in AMAT2015 held in Ankara, May 28-31, 2015, at TOBB Economics and T...
Presenting system dynamics as a powerful approach to build simulation models of social systems to aid decision making, this book is grounded in the feedback perspective of complex systems and introduces key concepts such as stocks, flows and feedback. The R programming language provides an open-source and interoperable way to build models.
Presenting system dynamics as a powerful approach to build simulation models of social systems to aid decision making, this book is grounded in the fe...
In this monograph, we present the authors' recent work of the last seven years in Approximation Theory. Chapters are self-contained and can be read independently and advanced courses can be taught out of this book. Here our generalized discrete singular operators are of the following types: Picard, Gauss-Weierstrass and Poisson-Cauchy operators. We treat both the unitary and non-unitary, univariate and multivariate cases of these operators, which are not necessarily positive operators. The book's results are expected to find applications in many areas of pure and applied mathematics, and...
In this monograph, we present the authors' recent work of the last seven years in Approximation Theory. Chapters are self-contained and can be read in...
This book applies the free, downloadable SAGE software program to numerous of examples and solved as well as unsolved problems in linear algebra and differential geometry, offering plenty of SAGE applications at each stage of the exposition.
This book applies the free, downloadable SAGE software program to numerous of examples and solved as well as unsolved problems in linear algebra and d...
This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates in mathematics, math education, computer science/information technology, engineering, and physical sciences.
This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates...
