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Differential and Integral Inequalities, Dorin Andrica; Themistocles M. Rassias


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Автор: Dorin Andrica; Themistocles M. Rassias
Название:  Differential and Integral Inequalities
ISBN: 9783030274061
Издательство: Springer
Классификация:






ISBN-10: 3030274063
Обложка/Формат: Hardcover
Страницы: 854
Вес: 1.46 кг.
Дата издания: 2019
Серия: Springer Optimization and Its Applications
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 1 illustrations, color; 1 illustrations, black and white; ix, 854 p. 2 illus., 1 illus. in color.
Размер: 165 x 241 x 55
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.
Дополнительное описание:
Convexity variants and Fejer inequalities with general weight.- Error estimates of approximations for the complex valued integral transforms (Abramovich).- Some New Methods for Generating Convex Functions (Agli? Aljinovi?).- Convexity Revisited: Meth



Differential Equations, Dynamical Systems, and an Introduction to Chaos

Автор: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 13304.00 р.
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Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.

Textbook on Ordinary Differential Equations

Автор: Ahmad Shair
Название: Textbook on Ordinary Differential Equations
ISBN: 3319164074 ISBN-13(EAN): 9783319164076
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.

First Course In Integral Equations, A (Second Edition)

Автор: Wazwaz Abdul-Majid
Название: First Course In Integral Equations, A (Second Edition)
ISBN: 9814675121 ISBN-13(EAN): 9789814675123
Издательство: World Scientific Publishing
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Цена: 6336.00 р.
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Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

Isolated Singularities in Partial Differential Inequalities

Автор: Ghergu
Название: Isolated Singularities in Partial Differential Inequalities
ISBN: 1107138388 ISBN-13(EAN): 9781107138384
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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Описание: Singularities are a common feature of the qualitative side of mathematics. In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities, which will appeal to researchers and graduate students interested in analysis.

Partial Differential Equation Methods for Image Inpainting

Автор: Schоnlieb
Название: Partial Differential Equation Methods for Image Inpainting
ISBN: 1107001005 ISBN-13(EAN): 9781107001008
Издательство: Cambridge Academ
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Цена: 12195.00 р.
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Описание: This book is concerned with digital image processing techniques that use partial differential equations (PDEs) for the task of image 'inpainting', an artistic term for virtual image restoration or interpolation, whereby missing or occluded parts in images are completed based on information provided by intact parts. Computer graphic designers, artists and photographers have long used manual inpainting to restore damaged paintings or manipulate photographs. Today, mathematicians apply powerful methods based on PDEs to automate this task. This book introduces the mathematical concept of PDEs for virtual image restoration. It gives the full picture, from the first modelling steps originating in Gestalt theory and arts restoration to the analysis of resulting PDE models, numerical realisation and real-world application. This broad approach also gives insight into functional analysis, variational calculus, optimisation and numerical analysis and will appeal to researchers and graduate students in mathematics with an interest in image processing and mathematical analysis.

Frontiers In Time Scales And Inequalities

Автор: Anastassiou George A
Название: Frontiers In Time Scales And Inequalities
ISBN: 9814704431 ISBN-13(EAN): 9789814704434
Издательство: World Scientific Publishing
Цена: 13939.00 р.
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Описание:

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, Gr ss type and comparison of means inequalities, all these over time scales. The volume continues with integral operator inequalities and their multivariate vectorial versions using convexity of functions, again all these over time scales. It follows the Gr ss and Ostrowski type inequalities involving s-convexity of functions; and also examines the general case when several functions are involved. Then, it presents the general fractional Hermite-Hadamard type inequalities using m-convexity and (s, m)-convexity. Finally, it introduces the reduction method in fractional calculus and its connection to fractional Ostrowski type inequalities is studied.

This book's results are expected to find applications in many areas of pure and applied mathematics, especially in difference equations and fractional differential equations. The chapters are self-contained and can be read independently, and advanced courses can be taught out of it. It is suitable for researchers, graduate students, seminars of the above subjects, and serves well as an invaluable resource for all science libraries.

Half-Discrete Hilbert-Type Inequalities

Автор: Yang Bicheng Et Al
Название: Half-Discrete Hilbert-Type Inequalities
ISBN: 9814504971 ISBN-13(EAN): 9789814504973
Издательство: World Scientific Publishing
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Цена: 17424.00 р.
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Описание: In 1934, G. H. Hardy et al. published a book entitled "Inequalities," in which a few theorems about Hilbert-type inequalities with homogeneous kernels of degree-one were considered. Since then, the theory of Hilbert-type discrete and integral inequalities is almost built by Prof. Bicheng Yang in their four published books.This monograph deals with half-discrete Hilbert-type inequalities. By means of building the theory of discrete and integral Hilbert-type inequalities, and applying the technique of Real Analysis and Summation Theory, some kinds of half-discrete Hilbert-type inequalities with the general homogeneous kernels and non-homogeneous kernels are built. The relating best possible constant factors are all obtained and proved. The equivalent forms, operator expressions and some kinds of reverses with the best constant factors are given. We also consider some multi-dimensional extensions and two kinds of multiple inequalities with parameters and variables, which are some extensions of the two-dimensional cases. As applications, a large number of examples with particular kernels are also discussed.The authors have been successful in applying Hilbert-type discrete and integral inequalities to the topic of half-discrete inequalities. The lemmas and theorems in this book provide an extensive account of these kinds of inequalities and operators. This book can help many readers make good progress in research on Hilbert-type inequalities and their applications.

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Автор: Bashir Ahmad; Ahmed Alsaedi; Sotiris K. Ntouyas; J
Название: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
ISBN: 3319521403 ISBN-13(EAN): 9783319521404
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral.

Inequalities for Differential Forms

Автор: Ravi P. Agarwal; Shusen Ding; Craig Nolder
Название: Inequalities for Differential Forms
ISBN: 1489983511 ISBN-13(EAN): 9781489983510
Издательство: Springer
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Цена: 20263.00 р.
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Описание: This volume systematically presents a series of local and global estimates and inequalities for differential forms satisfying the A-harmonic equations. Integral homotopy, the Laplace-Beltrami, and gradient operator estimates are also included.

Hyperbolic Functional Differential Inequalities and Applications

Автор: Z. Kamont
Название: Hyperbolic Functional Differential Inequalities and Applications
ISBN: 0792357914 ISBN-13(EAN): 9780792357919
Издательство: Springer
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Цена: 15372.00 р.
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Описание: An exposition of hyperbolic functional differential inequalities and their applications. It aims to give a presentation of developments in the following problems: functional differential inequalities generated by initial and mixed problems; existence theory of local and global solutions; and, numerical methods of lines for hyperbolic problems.

Weighted Inequalities and Degenerate Elliptic Partial Differential Equations

Автор: E.W. Stredulinsky
Название: Weighted Inequalities and Degenerate Elliptic Partial Differential Equations
ISBN: 3540133704 ISBN-13(EAN): 9783540133704
Издательство: Springer
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Цена: 3492.00 р.
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Hyperbolic Functional Differential Inequalities and Applications

Автор: Z. Kamont
Название: Hyperbolic Functional Differential Inequalities and Applications
ISBN: 9401059578 ISBN-13(EAN): 9789401059572
Издательство: Springer
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Цена: 13974.00 р.
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