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ISBN: 9780792364849

This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean funct… Plus…

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Functional Equations and Inequalities (Mathematics and Its Applications, 518, Band 518) - edition reliée, livre de poche

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ISBN: 9780792364849

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2000, ISBN: 9780792364849

Springer, 2000-07-31. Hardcover. Good. 1.0984 9.2992 6.4016. Ex-library copy with usual markings. Cover shows light shelf wear. Pages are clean and intact., Springer, 2000-07-31, 2.5

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Functional Equations and Inequalities - edition reliée, livre de poche

ISBN: 9780792364849

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Functional Equations and Inequalities (Mathematics and Its Applications, 518, Band 518)

This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition of trigonometric functions, the functional equation of the square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution of zeros and inequalities for zeros of algebraic polynomials, a qualitative study of Lobachevsky's complex functional equation, functional inequalities in special classes of functions, replicativity and function spaces, normal distributions, some difference equations, finite sums, decompositions of functions, harmonic functions, set-valued quasiconvex functions, the problems of expressibility in some extensions of free groups, Aleksandrov problem and mappings which preserve distances, Ulam's problem, stability of some functional equation for generalized trigonometric functions, Hyers-Ulam stability of Hosszú's equation, superstability of a functional equation, and some demand functions in a duopoly market with advertising. Audience: This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, integral transforms, and operational calculus.

Informations détaillées sur le livre - Functional Equations and Inequalities (Mathematics and Its Applications, 518, Band 518)


EAN (ISBN-13): 9780792364849
ISBN (ISBN-10): 0792364848
Version reliée
Livre de poche
Date de parution: 2000
Editeur: RASSIAS, Themistocles, Springer
356 Pages
Poids: 0,689 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-07-23T19:43:13+02:00 (Zurich)
Page de détail modifiée en dernier sur 2023-09-15T09:15:21+02:00 (Zurich)
ISBN/EAN: 9780792364849

ISBN - Autres types d'écriture:
0-7923-6484-8, 978-0-7923-6484-9
Autres types d'écriture et termes associés:
Auteur du livre: rassias, aleksandrov
Titre du livre: functional equations inequalities


Données de l'éditeur

Auteur: Themistocles RASSIAS
Titre: Mathematics and Its Applications; Functional Equations and Inequalities
Editeur: Springer; Springer Netherland
336 Pages
Date de parution: 2000-07-31
Dordrecht; NL
Langue: Anglais
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XI, 336 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; difference equation; distribution; functional analysis; functional equation; integral transform; operational calculus; partial differential equations; Difference and Functional Equations; Approximations and Expansions; Functional Analysis; Functions of a Complex Variable; Differential Equations; Funktionalanalysis und Abwandlungen; Komplexe Analysis, komplexe Variablen, Funktionentheorie; BC

On the Stability of a Functional Equation for Generalized Trigonometric Functions.- Some Notes on Two-Scale Difference Equations.- Some Demand Functions in a Duopoly Market with Advertising.- Solutions of a Functional Inequality in a Special Class of Functions.- On Dependence of Lipschitzian Solutions of Nonlinear Functional Inequality on an Arbitrary Function.- The Problem of Expressibility in Some Extensions of Free Groups.- On a Pythagorean Functional Equation Involving Certain Number Fields.- On a Conditional Cauchy Functional Equation Involving Cubes.- Hyers-Ulam Stability of Hosszú’s Equation.- The Functional Equation of the Square Root Spiral.- On the Superstability of the Functional Equation f(xy)=f(x)y.- Replicativity and Function Spaces.- Normal Distributions and the Functional Equation f(x+y) g(x-y) = f(x)f(y)g(x)g(-y).- On the Polynomial-Like Iterative Functional Equation.- Distribution of Zeros and Inequalities for Zeros of Algebraic Polynomials.- A Functional Definition of Trigonometric Functions.- A Qualitative Study of Lobachevksy’s Complex Functional Equation.- Smooth Solutions of an Iterative Functional Equation.- Set-Valued Quasiconvex Functions and their Constant Selections.- Entire Solutions of the Hille-type Functional Equation.- Ulam’s Problem, Hyers’s Solution — and to Where they Led.- A Separation Lemma for the Construction of Finite Sums Decompositions.- Aleksandrov Problem and Mappings which Preserve Distances.- On Some Subclasses of Harmonic Functions.

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9789813147607 Functional Equations and Inequalities: Solutions and Stability Results (Concrete and Applicable Mathematics, Band 21) (Rassias, John Michael, Thandapani, E. Ravi, K.)


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