Handbook Of Functional Equations

Author : Themistocles M. Rassias
Publisher : Springer
Page : 396 pages
File Size : 52,7 Mb
Release : 2014-11-21
Category : Mathematics
ISBN : 9781493912865

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Handbook of Functional Equations by Themistocles M. Rassias Pdf

This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, methods and problems in approximation theory, analytic inequalities, functional analysis, computational algebra and applications. The notion of stability of functional equations has its origins with S. M. Ulam, who posed the fundamental problem for approximate homomorphisms in 1940 and with D. H. Hyers, Th. M. Rassias, who provided the first significant solutions for additive and linear mappings in 1941 and 1978, respectively. During the last decade the notion of stability of functional equations has evolved into a very active domain of mathematical research with several applications of interdisciplinary nature. The chapters of this handbook focus mainly on both old and recent developments on the equation of homomorphism for square symmetric groupoids, the linear and polynomial functional equations in a single variable, the Drygas functional equation on amenable semigroups, monomial functional equation, the Cauchy–Jensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of set-valued mappings, D’Alembert’s functional equation, characterizations of information measures, functional equations in restricted domains, as well as generalized functional stability and fixed point theory.

Author : Themistocles M. Rassias
Publisher : Springer
Page : 555 pages
File Size : 41,6 Mb
Release : 2014-11-18
Category : Mathematics
ISBN : 9781493912469

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Handbook of Functional Equations by Themistocles M. Rassias Pdf

As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz–Mirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher’s information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.

Author : Flaviano Battelli,Michal Fečkan
Publisher : Elsevier
Page : 400 pages
File Size : 51,7 Mb
Release : 2008-08-19
Category : Mathematics
ISBN : 0080559468

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Handbook of Differential Equations: Ordinary Differential Equations by Flaviano Battelli,Michal Fečkan Pdf

This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. * Covers a variety of problems in ordinary differential equations * Pure mathematical and real-world applications * Written for mathematicians and scientists of many related fields

Author : Alan Jeffrey
Publisher : Elsevier
Page : 410 pages
File Size : 42,6 Mb
Release : 2014-05-19
Category : Mathematics
ISBN : 9781483295145

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Handbook of Mathematical Formulas and Integrals by Alan Jeffrey Pdf

If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse. Special thumb-tab index throughout the book for ease of use Answers are keyed to the type of problem they solve Formulas are provided for problems across the entire spectrum of Mathematics All equations are sent from a computer-checked source code Companion to Gradshteyn: Table of Integrals, Series, and Products, Fifth Edition The following features make the Handbook a Better Value than its Competition: Less expensive More comprehensive Equations are computer-validated with Scientific WorkPlace(tm) and Mathematica(r) Superior quality from one of the most respected names in scientific and technical publishing Offers unique thumb-tab indexing throughout the book which makes finding answers quick and easy

Author : Milton Abramowitz,Irene A. Stegun
Publisher : Courier Corporation
Page : 1068 pages
File Size : 47,9 Mb
Release : 1965-01-01
Category : Mathematics
ISBN : 0486612724

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Handbook of Mathematical Functions by Milton Abramowitz,Irene A. Stegun Pdf

An extensive summary of mathematical functions that occur in physical and engineering problems

Author : Frank W. J. Olver
Publisher : Cambridge University Press
Page : 968 pages
File Size : 40,7 Mb
Release : 2010-05-17
Category : Mathematics
ISBN : 9780521192255

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NIST Handbook of Mathematical Functions Hardback and CD-ROM by Frank W. J. Olver Pdf

The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

Author : Yeol Je Cho,Choonkil Park,Themistocles M. Rassias,Reza Saadati
Publisher : Springer
Page : 343 pages
File Size : 45,5 Mb
Release : 2015-06-26
Category : Mathematics
ISBN : 9783319187082

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Stability of Functional Equations in Banach Algebras by Yeol Je Cho,Choonkil Park,Themistocles M. Rassias,Reza Saadati Pdf

Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach algebras are additive and R-linear or C-linear, the stability problems for additive functional equations and additive mappings are studied in detail. The latest results are discussed and examined in stability theory for new functional equations and functional inequalities in Banach algebras and C*-algebras, non-Archimedean Banach algebras, non-Archimedean C*-algebras, multi-Banach algebras and multi-C*-algebras. Graduate students with an understanding of operator theory, functional analysis, functional equations and analytic inequalities will find this book useful for furthering their understanding and discovering the latest results in mathematical analysis. Moreover, research mathematicians, physicists and engineers will benefit from the variety of old and new results, as well as theories and methods presented in this book.

Author : J. Aczel,Hansjorg Oser
Publisher : Courier Corporation
Page : 548 pages
File Size : 43,8 Mb
Release : 2006-02-01
Category : Mathematics
ISBN : 9780486445236

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Lectures on Functional Equations and Their Applications by J. Aczel,Hansjorg Oser Pdf

Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.

Author : John Michael Rassias,E Thandapani,K Ravi,B V Senthil Kumar
Publisher : World Scientific Publishing Company
Page : 396 pages
File Size : 41,9 Mb
Release : 2017-03-20
Category : Electronic
ISBN : 9789813147621

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Functional Equations and Inequalities by John Michael Rassias,E Thandapani,K Ravi,B V Senthil Kumar Pdf

This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. Request Inspection Copy

Author : Andrei D. Polyanin,Alexander V. Manzhirov
Publisher : CRC Press
Page : 1542 pages
File Size : 44,6 Mb
Release : 2006-11-27
Category : Mathematics
ISBN : 9781420010510

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Handbook of Mathematics for Engineers and Scientists by Andrei D. Polyanin,Alexander V. Manzhirov Pdf

The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgr

Author : Palaniappan Kannappan
Publisher : Springer Science & Business Media
Page : 817 pages
File Size : 52,6 Mb
Release : 2009-06-10
Category : Mathematics
ISBN : 9780387894928

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Functional Equations and Inequalities with Applications by Palaniappan Kannappan Pdf

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material.

Author : J. Smital
Publisher : CRC Press
Page : 172 pages
File Size : 43,6 Mb
Release : 2020-08-26
Category : Mathematics
ISBN : 9781000156997

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On Functions and Functional Equations by J. Smital Pdf

On Functions and Functional Equations introduces the main topics in iteration theory and the theory of functional equations with emphasis on applications in the fields of mathematics, physics, biology, chemistry, and electronics and mechanical engineering. The book contains many classical results as well as important, more recent results. It also includes numerous exercise and some problems that have yet to be resolved. The book is accessible to readers having a secondary level mathematical education.

Author : Costas Efthimiou
Publisher : American Mathematical Soc.
Page : 381 pages
File Size : 45,5 Mb
Release : 2011-10-13
Category : Mathematics
ISBN : 9780821853146

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Introduction to Functional Equations by Costas Efthimiou Pdf

Functions and their properties have been part of the rigorous precollege curriculum for decades. And functional equations have been a favorite topic of the leading national and international mathematical competitions. Yet the subject has not received equal attention by authors at an introductory level. The majority of the books on the topic remain unreachable to the curious and intelligent precollege student. The present book is an attempt to eliminate this disparity. The book opens with a review chapter on functions, which collects the relevant foundational information on functions, plus some material potentially new to the reader. The next chapter presents a working definition of functional equations and explains the difficulties in trying to systematize the theory. With each new chapter, the author presents methods for the solution of a particular group of equations. Each chapter is complemented with many solved examples, the majority of which are taken from mathematical competitions and professional journals. The book ends with a chapter of unsolved problems and some other auxiliary material. The book is an invaluable resource for precollege and college students who want to deepen their knowledge of functions and their properties, for teachers and instructors who wish to enrich their curricula, and for any lover of mathematical problem-solving techniques. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Author : Themistocles M. Rassias
Publisher : Springer
Page : 336 pages
File Size : 55,9 Mb
Release : 2011-09-28
Category : Mathematics
ISBN : 9401143420

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Functional Equations and Inequalities by Themistocles M. Rassias Pdf

Author : Prasanna K. Sahoo,Palaniappan Kannappan
Publisher : CRC Press
Page : 465 pages
File Size : 43,6 Mb
Release : 2011-02-08
Category : Mathematics
ISBN : 9781439841167

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Introduction to Functional Equations by Prasanna K. Sahoo,Palaniappan Kannappan Pdf

Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values. In order to make the presentation as manageable as p