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The Ulam Stability Problem In Approximation Of Approximately Quadratic Mappings By Quadratic Mappings
Ulam problem Ulam type problem General Ulam problem Quadratic mapping Approximately quadratic mapping Square of the quadratic weighted mean
2008/6/26
S.M. Ulam, 1940, proposed the well-known Ulam stability problem and in 1941, the problem for linear mappings was solved by D.H. Hyers. D.G. Bourgin, 1951, also investigated the Ulam problem for additi...
Simultaneous Approximation by Lupas Modified Operators with Weighted Function of Szasz Operators
Simultaneous approximation Lupas operators Szasz operators
2008/6/26
In the present paper, we consider a new modification of the Lupas operators with the weight function of Szasz operators and study simultaneous approximation. Here we obtain a Voronovskaja type asympto...
Simultaneous Approximation For The Phillips-Bézier Operators
Rate of convergence Bounded variation Total variation Simultaneous approximation
2008/6/26
We study the simultaneous approximation properties of the Bézier variant of the well known Phillips operators and estimate the rate of convergence of the Phillips-Bézier operators in simultaneous appr...
Approximation error bounds via Rademacher's complexity
approximation error model complexity curse of dimension-ality Rademacher's complexity
2010/9/10
Approximation properties of some connectionistic models, commonly used to construct approximation schemes for optimization problems with multivariable functions as admissible solutions, are investigat...
Approximation by certain linear operators preserving x2
Positive linear operator polynomial weighted space degree of approximation
2010/2/25
We investigate certain positive linear operators Ln preserving the functions ek (x)=xk, k=0, 1, and modified operators Ln* which preserve e0 and e2. We show that the error of approximation of f by Ln*...
Equi-Statistical Extension of the Korovkin Type Approximation Theorem
Equi-statistical convergence positive linear operator Korovkin type theorem
2010/2/25
In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construc...
Presents the Approximation Theory Network (AT-NET), a means for the distribution of information related to approximation theory. Offers access to AT-NET bulletins, as well as to related theses and jou...
The Journal of Approximation Theory is devoted to advances in pure and applied approximation theory and related areas.
Iterative approximation to common fixed points of two nonexpansive mappings in Banach spaces
Sunny nonexpansive retraction common fixed points
2010/9/14
Iterative approximation to common fixed points of two nonexpansive mappings in Banach spaces
Obtuse angle principle for approximation of fixed points of nonlinear mappings
Uniformly smooth Banach spaces Hilbert spaces
2010/9/16
Obtuse angle principle for approximation of fixed points of nonlinear mappings
Approximation of curves by fairness cubic splines
Smoothness Variational curve Fairness spline Cubic spline
2010/9/15
In this paper we present an approximation method of curves by a new type of spline functions called fairness cubic splines from a given Lagrangian data set under fairness constraints. An approximating...
INTRODUCTION.Itisthepurposeofthispapertopresentsomeresults,ontheproblemofinterpolationandapproximationtoafunctiouf(z),analyticonaclosedlimitedpointsetEinthecomplexz-planewhosecomplementKisconnectedand...
Subdivision algorithm (Stationary or Non-stationary) is one of
the most active and exciting research topics in wavelet analysis
and applied mathematical theory. In multidimensional non-stationary
s...
Steklov eigenvalue problem of Helmholtz equation is considered in the
present paper. Steklov eigenvalue problem is reduced to a new
variational formula on the boundary of a given domain, in which th...
THE GLOBAL DUFORT-FRANKEL DIFFERENCE APPROXIMATION FOR NONLINEAR REACTION-DIFFUSION EQUATIONS
globel Dufort-Frankel method reaction-diffusion eqution global attractor error estimate numerical experiments
2007/12/12
In this paper, the initial value problem of nonlinear reaction-diffusion
equation is considered. The Dufort-Frankel finite difference
approximation for the long time scheme is given for the $d$-dime...