Hardy Type Inequalities On Time Scales PDF Download
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Author | : Ravi P. Agarwal |
Publisher | : Springer |
Total Pages | : 309 |
Release | : 2016-10-20 |
Genre | : Mathematics |
ISBN | : 3319442996 |
Download Hardy Type Inequalities on Time Scales Book in PDF, ePub and Kindle
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h > 0, T = qN for q > 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and the classical ones. To the best of the authors’ knowledge this is the first book devoted to Hardy-typeinequalities and their extensions on time scales.
Author | : Lars-erik Persson |
Publisher | : World Scientific Publishing Company |
Total Pages | : 480 |
Release | : 2017-06-16 |
Genre | : Mathematics |
ISBN | : 9813140666 |
Download Weighted Inequalities Of Hardy Type (Second Edition) Book in PDF, ePub and Kindle
Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy-type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new areas such as higher order and fractional order Hardy-type inequalities and integral inequalities on the cone of monotone functions, together with some applications and open problems.In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy-type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy-type inequalities; (d) Hardy-type inequalities in other function spaces; and (e) a number of new open questions.
Author | : B. Opic |
Publisher | : |
Total Pages | : 351 |
Release | : 1990-01-01 |
Genre | : |
ISBN | : 9780608035987 |
Download Hardy-Type Inequalities Book in PDF, ePub and Kindle
Author | : Ravi Agarwal |
Publisher | : Springer |
Total Pages | : 264 |
Release | : 2014-10-30 |
Genre | : Mathematics |
ISBN | : 3319110020 |
Download Dynamic Inequalities On Time Scales Book in PDF, ePub and Kindle
This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Čebyšv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.
Author | : Alois Kufner |
Publisher | : World Scientific |
Total Pages | : 380 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9789812381958 |
Download Weighted Inequalities of Hardy Type Book in PDF, ePub and Kindle
Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new fields such as higher order and fractional order Hardy type inequalities and integral inequalities on the cone of monotone functions together with some applications and open problems. The book can serve as a reference and a source of inspiration for researchers working in these and related areas, but could also be used for advanced graduate courses.
Author | : Svetlin G. Georgiev |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 370 |
Release | : 2023-09-18 |
Genre | : Mathematics |
ISBN | : 3111185192 |
Download Dynamic Calculus and Equations on Time Scales Book in PDF, ePub and Kindle
Author | : Ravi P Agarwal |
Publisher | : CRC Press |
Total Pages | : 435 |
Release | : 2024-10-18 |
Genre | : Mathematics |
ISBN | : 1040103731 |
Download Dynamic Equations on Time Scales and Applications Book in PDF, ePub and Kindle
This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. Presents cutting-edge research trends of dynamic equations and recent advances in contemporary research on the topic of time scales Connects several new areas of dynamic equations on time scales with applications in different fields Includes mathematical explanation from the perspective of existing knowledge of dynamic equations on time scales Offers several new recently developed results, which are useful for the mathematical modeling of various phenomena Useful for several interdisciplinary fields like economics, biology, and population dynamics from the perspective of new trends The text is for postgraduate students, professionals, and academic researchers working in the fields of Applied Mathematics
Author | : Martin Bohner |
Publisher | : Springer Science & Business Media |
Total Pages | : 365 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461202019 |
Download Dynamic Equations on Time Scales Book in PDF, ePub and Kindle
On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals.
Author | : Svetlin G Georgiev |
Publisher | : World Scientific |
Total Pages | : 337 |
Release | : 2023-08-29 |
Genre | : Mathematics |
ISBN | : 9811275483 |
Download Advances On Fractional Dynamic Inequalities On Time Scales Book in PDF, ePub and Kindle
This book is devoted on recent developments of linear and nonlinear fractional Riemann-Liouville and Caputo integral inequalities on time scales. The book is intended for the use in the field of fractional dynamic calculus on time scales and fractional dynamic equations on time scales. It is also suitable for graduate courses in the above fields, and contains ten chapters. The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format.
Author | : Bohumír Opic |
Publisher | : Longman Scientific and Technical |
Total Pages | : 364 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : |
Download Hardy-type Inequalities Book in PDF, ePub and Kindle