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Theory of Approximate Functional Equations

Theory of Approximate Functional Equations
  • Author : Madjid Eshaghi Gordji,Sadegh Abbaszadeh
  • Publisher : Academic Press
  • Release : 03 March 2016
GET THIS BOOKTheory of Approximate Functional Equations

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


Iterative Functional Equations

Iterative Functional Equations
  • Author : Marek Kuczma,Bogdan Choczewski,Roman Ger
  • Publisher : Cambridge University Press
  • Release : 27 July 1990
GET THIS BOOKIterative Functional Equations

A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory is closely related. The authors introduce the reader to the theory and then explore the most recent developments and general results. Fundamental notions such as the existence and uniqueness of


Handbook of Functional Equations

Handbook of Functional Equations
  • Author : Themistocles M. Rassias
  • Publisher : Springer
  • Release : 21 November 2014
GET THIS BOOKHandbook of Functional Equations

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

The Riemann Zeta-Function
  • Author : Aleksandar Ivic
  • Publisher : Courier Corporation
  • Release : 12 July 2012
GET THIS BOOKThe Riemann Zeta-Function

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.


Functional Analysis, Approximation Theory and Numerical Analysis

Functional Analysis, Approximation Theory and Numerical Analysis
  • Author : John M Rassias
  • Publisher : World Scientific
  • Release : 09 June 1994
GET THIS BOOKFunctional Analysis, Approximation Theory and Numerical Analysis

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. Contents:On a Conditional Cauchy Equation on Rhombuses (C Alsina & J-L Carcia-Roig)Optimization of Functionals and Application to Differential Equations (P C Bhakta)On a Generalization of the Golab-Schinzel Functional Equation (N Brillouet-Belluot)On Shape from


An Introduction to the Theory of the Riemann Zeta-Function

An Introduction to the Theory of the Riemann Zeta-Function
  • Author : S. J. Patterson
  • Publisher : Cambridge University Press
  • Release : 02 February 1995
GET THIS BOOKAn Introduction to the Theory of the Riemann Zeta-Function

This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann zeta function. Riemann introduced this function in connection with his study of prime numbers and from this has developed the subject of analytic number theory. Since then many other classes of 'zeta function' have been introduced and they are now some of the most intensively studied objects in number theory. Professor Patterson has emphasised central ideas of broad


Functional Equations, Inequalities and Applications

Functional Equations, Inequalities and Applications
  • Author : Themistocles M. Rassias
  • Publisher : Springer Science & Business Media
  • Release : 30 September 2003
GET THIS BOOKFunctional Equations, Inequalities and Applications

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

Functional Equations: History, Applications and Theory
  • Author : J. Aczél
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKFunctional Equations: History, Applications and Theory

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



Frontiers in Functional Equations and Analytic Inequalities

Frontiers in Functional Equations and Analytic Inequalities
  • Author : George A. Anastassiou,John Michael Rassias
  • Publisher : Springer Nature
  • Release : 23 November 2019
GET THIS BOOKFrontiers in Functional Equations and Analytic Inequalities

This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restricted domains Hyers–Ulam’s stability results to a three point boundary value problem of nonlinear fractional order differential equations Topological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equations


The Riemann Zeta-Function

The Riemann Zeta-Function
  • Author : Anatoly A. Karatsuba,S. M. Voronin
  • Publisher : Walter de Gruyter
  • Release : 01 January 1992
GET THIS BOOKThe Riemann Zeta-Function

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board



Duality in Analytic Number Theory

Duality in Analytic Number Theory
  • Author : Peter D. T. A. Elliott
  • Publisher : Cambridge University Press
  • Release : 13 February 1997
GET THIS BOOKDuality in Analytic Number Theory

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


Introduction to Functional Equations

Introduction to Functional Equations
  • Author : Costas Efthimiou
  • Publisher : American Mathematical Soc.
  • Release : 13 October 2011
GET THIS BOOKIntroduction to Functional Equations

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,


Topics in Mathematical Analysis and Applications

Topics in Mathematical Analysis and Applications
  • Author : Themistocles M. Rassias,László Tóth
  • Publisher : Springer
  • Release : 13 October 2014
GET THIS BOOKTopics in Mathematical Analysis and Applications

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role.