Approximation by linear combination of Szász-Mirakian operators
Approximation by modified Szász-Mirakyan operators.
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 -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 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 en graphe d'une évolution discontinue
Approximation from sparse grids and function spaces of dominating mixed smoothness
We investigate the convergence and the rate of convergence in , 1 < p < ∞, of a bivariate interpolating (with respect to a sparse grid) trigonometric polynomial in the framework of Sobolev spaces of dominating mixed smoothness.
Approximation of a function by Kantorovich type operators
Approximation of almost periodic functions by convolution type operators.
Approximation of an elliptic boundary value problem with unilateral constraints
Approximation of -Continuous and -Differentiable functions by GBS operators of Bernstein bivariate polynomials.
Approximation of -continuous and -differentiable functions by GBS operators defined by infinite sum.
Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators.
Approximation of Distribution Spaces by Means of Kernel Operators.
Approximation of functions from by general linear operators of their Fourier series
We show the general and precise conditions on the functions and modulus of continuity as well as on the entries of matrices generating the summability means and give the rates of approximation of functions from the generalized integral Lipschitz classes by double matrix means of their Fourier series. Consequently, we give some results on norm approximation. Thus we essentially extend and improve our earlier results [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24] and the result of S. Lal [Appl....
Approximation of functions possessing derivatives of positive orders
Approximation of signals (functions) belonging to the weighted -class by linear operators.
Approximation of the Hersch-Pfluger distortion function.