Approximation and shape preserving properties of the Bernstein operator of max-product kind.
Approximation and shape preserving properties of the nonlinear Bleimann-Butzer-Hahn operators of max-product kind
Starting from the study of the Shepard nonlinear operator of max-prod type in (Bede, Nobuhara et al., 2006, 2008), in the book (Gal, 2008), Open Problem 5.5.4, pp. 324–326, the Bleimann-Butzer-Hahn max-prod type operator is introduced and the question of the approximation order by this operator is raised. In this paper firstly we obtain an upper estimate of the approximation error of the form . A consequence of this result is that for each compact subinterval , with arbitrary , the order of uniform...
Approximation by circular splines for solutions of ordinary differential equations
Approximation by compact operators over spaces of continuous functions.
Approximation by continuous vector valued functions
Approximation by Cubic C1-Splines on Arbitrary Triangulations.
Approximation by double Walsh polynomials.
Approximation by Durrmeyer-type operators
We define a new kind of Durrmeyer-type summation-integral operators and study a global direct theorem for these operators in terms of the Ditzian-Totik modulus of smoothness.
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...