Approximation by finite element functions using local regularization
Approximation by finite rank operators with ranges in .
Approximation by Hill functions
Approximation by Hill functions. II.
Approximation by linear combination of Szász-Mirakian operators
Approximation by Meyer-König and Zeller Type Operators.
Approximation by modified Szász-Mirakyan operators.
Approximation by nonlinear integral operators in some modular function spaces
Let G be a locally compact Hausdorff group with Haar measure, and let L⁰(G) be the space of extended real-valued measurable functions on G, finite a.e. Let ϱ and η be modulars on L⁰(G). The error of approximation ϱ(a(Tf - f)) of a function is estimated, where and K satisfies a generalized Lipschitz condition with respect to the second variable.
Approximation by Nörlund operators
Approximation by optimal periodic interpolation
Approximation by -Faber-Laurent rational functions in the weighted Lebesgue spaces
Let be a regular Jordan curve. In this work, the approximation properties of the -Faber-Laurent rational series expansions in the weighted Lebesgue spaces are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a th integral modulus of continuity in spaces is estimated.
Approximation by perturbed neural network operators
This article deals with the determination of the rate of convergence to the unit of each of three newly introduced perturbed normalized neural network operators of one hidden layer. These are given through the modulus of continuity of the function involved or its high order derivative that appears in the right-hand side of the associated Jackson type inequalities. The activation function is very general, in particular it can derive from any sigmoid or bell-shaped function. The right-hand sides of...
Approximation by Positive Operators.
Approximation by -Bernstein type operators
Using the -Bernstein basis, we construct a new sequence of positive linear operators in We study its approximation properties and the rate of convergence in terms of modulus of continuity.
Approximation by solutions of general boundary value problems for elliptic equations of arbitrary order
Approximation by spline interpolating bases
Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case α < 1
The pointwise approximation properties of the Bézier variant of the MKZ-Kantorovich operators for α ≥ 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators for the other case 0 < α < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators for the case 0 < α < 1. In the end we propose the q-analogue of MKZK operators....
Approximation by trigonometric polynomials in weighted Orlicz spaces
We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a constructive characterization of the generalized Lipschitz classes in these spaces.
Approximation by weighted means of Walsh-Fourier series.
Approximation by weighted polynomials in
We apply pluripotential theory to establish results in concerning uniform approximation by functions of the form wⁿPₙ where w denotes a continuous nonnegative function and Pₙ is a polynomial of degree at most n. Then we use our work to show that on the intersection of compact sections a continuous function on Σ is uniformly approximable by θ-incomplete polynomials (for a fixed θ, 0 < θ < 1) iff f vanishes on θ²Σ. The class of sets Σ expressible as the intersection of compact sections includes...