# Theory of Approximate Functional Equations

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- Author : Madjid Eshaghi Gordji
- Publisher : Academic Press
- Release : 03 March 2016
- ISBN : 9780128039717
- Page : 148 pages
- Rating : 4.5/5 from 103 voters

## Theory of Approximate Functional Equations Book PDF summary

Presently no other book deals with the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups. Moreover, in most stability theorems for functional equations, the completeness of the target space of the unknown functions contained in the equation is assumed. Recently, the question, whether the stability of a functional equation implies this completeness, has been investigated by several authors. In this book the authors investigate these developments in the theory of approximate functional equations. A useful text for graduate seminars and of interest to a wide audience including mathematicians and applied researchers Presents recent developments in the theory of approximate functional equations Discusses the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups

### Theory of Approximate Functional Equations

- Author : Madjid Eshaghi Gordji,Sadegh Abbaszadeh
- Publisher : Academic Press
- Release Date : 2016-03-03
- ISBN : 9780128039717

Presently no other book deals with the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups. Moreover, in most stability theorems for functional equations, the completeness of the target space of the unknown functions contained in the equation is assumed. Recently, the question, whether the stability of a functional equation implies this completeness, has been investigated by several authors. In this book the authors investigate these developments in the theory of approximate functional equations. A

### Handbook of Functional Equations

- Author : Themistocles M. Rassias
- Publisher : Springer
- Release Date : 2014-11-21
- ISBN : 9781493912865

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

### The Riemann Zeta-Function

- Author : Aleksandar Ivic
- Publisher : Courier Corporation
- Release Date : 2012-07-12
- ISBN : 9780486140049

This text covers exponential integrals and sums, 4th power moment, zero-free region, mean value estimates over short intervals, higher power moments, omega results, zeros on the critical line, zero-density estimates, and more. 1985 edition.

### Optimal Control of Differential and Functional Equations

- Author : J. Warga
- Publisher : Academic Press
- Release Date : 2014-05-10
- ISBN : 9781483259192

Optimal Control of Differential and Functional Equations presents a mathematical theory of deterministic optimal control, with emphasis on problems involving functional-integral equations and functional restrictions. The book reviews analytical foundations, and discusses deterministic optimal control problems requiring original, approximate, or relaxed solutions. Original solutions involve mathematicians, and approximate solutions concern engineers. Relaxed solutions yield a complete theory that encompasses both existence theorems and necessary conditions. The text also presents general optimal control problems, optimal control of ordinary differential equations, and

### Approximation Theory in Tensor Product Spaces

- Author : William A. Light,Elliot W. Cheney
- Publisher : Springer
- Release Date : 2006-11-14
- ISBN : 9783540397410

### Introduction to Functional Equations

- Author : Costas Efthimiou
- Publisher : American Mathematical Soc.
- Release Date : 2011-10-13
- ISBN : 9780821853146

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,

### Duality in Analytic Number Theory

- Author : Peter D. T. A. Elliott
- Publisher : Cambridge University Press
- Release Date : 1997-02-13
- ISBN : 9781316582596

In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its application, the book also illustrates a way of thinking mathematically: historical background is woven into the narrative, variant proofs illustrate obstructions, false steps and the development of insight, in a manner reminiscent of Euler. It is shown how to

### The Lerch zeta-function

- Author : Antanas Laurincikas,Ramunas Garunkstis
- Publisher : Springer Science & Business Media
- Release Date : 2013-12-11
- ISBN : 9789401764018

The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the first book containing both analytic and probability theory of Lerch zeta-functions. The book starts with classical analytical theory (Euler gamma-functions, functional equation, mean square). The majority of the presented results are new: on approximate functional equations and its applications and on zero distribution (zero-free

### Functional Equations, Inequalities and Applications

- Author : Themistocles RASSIAS
- Publisher : Springer Science & Business Media
- Release Date : 2013-03-09
- ISBN : 9789401702256

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 modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard

### Functional Equations: History, Applications and Theory

- Author : J. Aczél
- Publisher : Springer Science & Business Media
- Release Date : 2001-11-30
- ISBN : 1402003293

Approach your problems from It isn't that they can't see the right end and begin with the solution. It is that they the answers. Then one day, can't see the problem. perhaps you will find the G.K. Chesterton. The Scandal of final question. Father Brown 'The Point of a Pin' . 'The Hermit Clad ~n Crane Feathers' in R. van Gulik's The Chinese Haze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized

### Analytic Number Theory

- Author : Japan) Taniguchi International Symposium on Mathematics: Analytic Number Theory (1996 : Kyoto
- Publisher : Cambridge University Press
- Release Date : 1997-10-16
- ISBN : 9780521625128

Authoritative, up-to-date review of analytic number theory containing outstanding contributions from leading international figures.

### Functional Analysis, Approximation Theory, and Numerical Analysis

- Author : John Michael Rassias
- Publisher : World Scientific
- Release Date : 1994
- ISBN : 9810207379

This book consists of papers written by outstanding mathematicians. It deals with both theoretical and applied aspects of the mathematical contributions of BANACH, ULAM, and OSTROWSKI, which broaden the horizons of Functional Analysis, Approximation Theory, and Numerical Analysis in accordance with contemporary mathematical standards.

### Developments in Functional Equations and Related Topics

- Author : Janusz Brzdęk,Krzysztof Ciepliński,Themistocles M. Rassias
- Publisher : Springer
- Release Date : 2017-08-14
- ISBN : 9783319617329

This book presents current research on Ulam stability for functional equations and inequalities. Contributions from renowned scientists emphasize fundamental and new results, methods and techniques. Detailed examples are given to theories to further understanding at the graduate level for students in mathematics, physics, and engineering. Key topics covered in this book include: Quasi means Approximate isometries Functional equations in hypergroups Stability of functional equations Fischer-Muszély equation Haar meager sets and Haar null sets Dynamical systems Functional equations in probability

### The Theory of the Riemann Zeta-function

- Author : Late Savilian Professor of Geometry E C Titchmarsh,Edward Charles Titchmarsh,Titchmarsh,D. R. Heath-Brown,Titchmarsh, Edward Charles Titchmarsh
- Publisher : Oxford University Press
- Release Date : 1986
- ISBN : 0198533691

The Riemann zeta-function is our most important tool in the study of prime numbers, and yet the famous "Riemann hypothesis" at its core remains unsolved. This book studies the theory from every angle and includes new material on recent work.

### Notes from the International Autumn School on Computational Number Theory

- Author : Ilker Inam,Engin Büyükaşık
- Publisher : Springer
- Release Date : 2019-04-17
- ISBN : 9783030125585

This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which was held at the Izmir Institute of Technology from October 30th to November 3rd, 2017 in Izmir, Turkey. Written by experts in computational number theory, the chapters cover a variety of the most important aspects of the field. By including timely research and survey articles, the text also helps pave a path to future advancements. Topics include: Modular forms L-functions The modular symbols