Functional Analysis, Approximation Theory and Numerical Analysis

By: John Michael Rassias (Editor)

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Hardcover | 1 December 1993

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340 Pages

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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.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Numerical Analysis Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing

Preface
Stefan Banach, Alexander Markowic Ostrowski, Stanislaw Marcin Ulam	p. 1
On a Conditional Cauchy Equation on Rhombuses	p. 5
Spectral Properties of Matrices with Products of Binomial Coefficients as Entries	p. 9
Optimization of Functionals and Application to Differential Equations	p. 19
On an Alternative Functional Equation in R[superscript n]	p. 33
On a Generalization of the Golab-Schinzel Functional Equation	p. 45
Functional Equations and Exact Discrete Solutions of Ordinary Differential Equations	p. 75
On Shape from Shading Problem	p. 93
On the Approximations to Analytic Functions	p. 107
Error Estimate in Non-equi-mesh Spline Finite Strip Method for Thin Plate Bending Problem	p. 121
The Hyers-Ulam Stability of a Functional Equation containing Partial Difference Operators	p. 133
Asymptotic Behavior of Dynamical Systems and Processes on Banach Infinite Dimensional Spaces	p. 143
Banach Spaces in Bergman Operator Theory	p. 155
Some Characterization Problems in Hilbert Space	p. 167
Fixed Point Procedure in Banach Spaces for Calculating Periodical Solutions of Duffing Type Equations	p. 171
On Banach Algebras of the Potential Differential and Pseudodifferential Operators	p. 205
On Relative Compactness Set of Abstract Functions from Scale of the Banach Spaces	p. 219
On the Extended Ostrowski Constant	p. 237
Solution of a Stability Problem of Ulam	p. 241
An Interpretation of Gegenbauer Polynomials and their Generalization for the Case with Many Variables	p. 251
Solution of Quasi-Tridiagonal system of Linear Equations	p. 259
The Uniqueness and Existence of Solution and Normal Boundary Condition for Thin Plate Bending Problem	p. 271
A Characterization of Q-algebras	p. 277
Landau's Type Inequalities	p. 281
Generalized Landau's Type Inequalities	p. 303
Table of Contents provided by Blackwell. All Rights Reserved.

Functional Analysis, Approximation Theory and Numerical Analysis

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Hardcover

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