1 edition of Analytic and Geometric Inequalities and Applications found in the catalog.
Published
1999
by Springer Netherlands, Imprint, Springer in Dordrecht
.
Written in English
This volume is devoted to recent advances in a variety of inequalities in mathematical analysis and geometry. Subjects dealt with include: differential and integral inequalities; fractional order inequalities of Hardy type; multi-dimensional integral inequalities; Grüss" inequality; Laguerre-Samuelson inequality; Opial type inequalities; Furuta inequality; distortion inequalities; problem of infimum in the positive cone; external problems for polynomials; Chebyshev polynomials; bounds for the zeros of polynomials; open problems on eigenvalues of the Laplacian; obstacle boundary value problems; bounds on entropy measures for mixed populations; connections between the theory of univalent functions and the theory of special functions; and degree of convergence for a class of linear operators. A wealth of applications of the above is also included.
Audience: This book will be of interest to mathematicians whose work involves real functions, functions of a complex variable, special functions, integral transforms, operational calculus, or functional analysis.
Edition Notes
| Statement | edited by Themistocles M. Rassias, Hari M. Srivastava |
| Series | Mathematics and Its Applications -- 478, Mathematics and Its Applications -- 478. |
| Contributions | Srivastava, Hari M. |
| The Physical Object | |
|---|---|
| Format | [electronic resource] / |
| Pagination | 1 online resource (384 pages). |
| Number of Pages | 384 |
| ID Numbers | |
| Open Library | OL27016783M |
| ISBN 10 | 9401145776 |
| ISBN 10 | 9789401145770 |
| OCLC/WorldCa | 840310834 |
The workshop will focus on various aspects of diverse inequalities of functional and geometric nature. Topics of interest will include: Sobolev inequalities with sharp constants and norms and their applications to the theory of partial differential equations; geometric analysis of Sobolev maps; inequalities in the Brunn-Minkowski theory of convex bodies; asymptotic convex geometric analysis. GSE Analytic Geometry • Unit 5 Mathematics GSE Analytic Geometry Unit 5: Quadratic Functions July Page 3 of OVERVIEW In this unit students will: • focuses on quadratic functions, equations, and applications • explore variable rate of change.
Analytic tools, which can obscure the simple geometric ideas involved, seem to be needed to obtain the sharpness of the results. The reader is referred to [ii] for the analytic details needed to. In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius of the alternating series associated with the Taylor series of analytic functions. We will prove that most of the results are by: 3.
lems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities File Size: 1MB. Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach.
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Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo metry. Subjects dealt with in this volume include: Fractional order inequalities of Hardy type, differential and integral inequalities with initial time.
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Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo metry. Subjects dealt with in this volume include: Fractional order inequalities of Hardy type, differential and integral inequalities.
The analytic nature of the proofs is emphasized, since this makes them particularly useful in applications. Many of the results appear here in book form for the first time. This reference will be welcomed by both pure and applied by: A wealth of applications of the above is also included. Audience: This book will be of interest to mathematicians whose work involves real functions, functions of a complex variable, special functions, integral transforms, operational calculus, or functional analysis.
The book describes how functional inequalities are often manifestations of natural mathematical structures and physical phenomena, and how a few general principles validate large classes of analytic/geometric inequalities, old and new.
您的位置： 首页 > 科学自然 > 数学 > Analytic and Geometric Inequalities and Applications 目录导航. 综合 美国 睡眠睡眠障碍 Analytic and Geometric Inequalities and Applications. 点击放大图片 出版社: Springer. Today inequalities playa significant role in all fields of mathematics, and they present a very active and attractive field of research.
DIEUDONNE, in his book "Calcullnfinitesimal" (Paris ), attri buted special significance to inequalities, adopting the method of exposi tion characterized by "majorer, minorer, approcher". Journal of Inequalities and Applications. About; such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and.
done and signiflcant results were obtained in geometric functional analysis, mathematical economics, convex analysis, nonlinear optimization etc. A great role in the popularization of the subject of convex functions was played by the famous book of G.
Hardy, J. Littlewood and G. Polya [], on inequalities. Functions of a complex variable. This book is designed for students who, having acquired a good working knowledge of the calculus, desire to become acquainted with the theory of functions of a complex variable, and with the principal applications of that us examples have been given throughout the book, and there is also a set of Miscellaneous Examples, arranged to correspond with.
Outline. Triangle and Cauchy Schwarz Inequalities Arithmetic - Geometric - Harmonic Mean Inequality. Relations among the AGH means Cauchy’s proof Applications: largest triangle of given perimeter and monotonicity of the compound interest Size: KB. Introduction to Complex Variables.
These are the sample pages from the textbook, 'Introduction to Complex Variables'. This book covers the following topics: Complex numbers and inequalities, Functions of a complex variable, Mappings, Cauchy-Riemann equations, Trigonometric and hyperbolic functions, Branch points and branch cuts, Contour integration, Sequences and series, The residue.
Means in Mathematical Analysis addresses developments in global analysis, non-linear analysis, and the many problems of associated fields, including dynamical systems, ergodic theory, combinatorics, differential equations, approximation theory, analytic inequalities, functional equations and probability theory.
The series comprises highly specialized research monographs written by eminent scientists. Get this from a library. Analytic and geometric inequalities and applications.
[Themistocles M Rassias; H M Srivastava;] -- "This volume is devoted to recent advances in a variety of inequalities of mathematical analysis and geometry."--BOOK JACKET.
"This book will be of interest to mathematicians whose work involves real. A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, andCited by: Get this from a library.
Analytic and Geometric Inequalities and Applications. [Themistocles M Rassias; Hari M Srivastava] -- This volume is devoted to recent advances in a variety of inequalities in mathematical analysis and geometry.
Subjects dealt with include: differential and integral inequalities; fractional order. Mathematical analysis is largely a systematic study and exploration of inequalities — but for students the study of inequalities often remains a foreign country, difficult of access.
This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the concepts of continuity, derivative, and integral.
It makes heavy use of college algebra and assumes familiarity with calculus, especially the mean-value theorem, integrals, and infinite series. The qualifier “analytic” in the title is not completely accurate, as the book covers all kinds of inequalities, but it is slanted toward inequalities used in mathematical analysis.
Handbook of Convex Geometry, Volume A offers a survey of convex geometry and its many ramifications and relations with other areas of mathematics, including convexity, geometric inequalities, and convex sets.
The selection first offers information on the history of convexity, characterizations of convex sets, and mixed volumes. 2 1 Basic (Elementary) Inequalities and Their Application Exercise Let a,b∈R+.Prove the inequality a b + b a ≥2. Solution From the obvious inequality (a−b)2 ≥0wehave a2 −2ab+b2 ≥0 ⇔ a2 +b2 ≥2ab ⇔ a2 +b2 ab ≥2 ⇔ a b + b a ≥2.
Equality occurs if and only if a−b=0, i.e. a =b. Exercise (Nesbitt’s inequality) Let a,b,cbe positive real theFile Size: 2MB.e-books in Analytic Geometry category Plane and Solid Analytic Geometry by W.
F. Osgood, W. C. Graustein - Macmillan and co., The object of an elementary college course in Analytic Geometry is is to acquaint the student with new and important geometrical material, and to provide him with powerful tools for the study of geometry and pure mathematics, physics and engineering.Geometric andarithmeticmeans 4.
Anapplication 5. TheIsoperimetricTheorem ". Inequalities andCalculus 6. Thenumber e 20 7. Examplesfromthecalculus 8. Approximation bypolynomials 21 odernTheorems 9. Powermeans 22 The Cauchy, Bunyakovskil, Holder, and File Size: 6MB.
