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Functional Equations and Inequalities

Functional Equations and Inequalities
Catalogue Information
Field name Details
Dewey Class 515.625
Title Functional Equations and Inequalities ([EBook]) / by Themistocles M. Rassias.
Author Rassias, Themistocles M. , 1951-
Other name(s) SpringerLink (Online service)
Publication Dordrecht : Springer Netherlands , 2000.
Physical Details XI, 336 p. : online resource.
Series Mathematics and its applications ; 518
ISBN 9789401143417
Summary Note 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:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-94-011-4341-7
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