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Approximation of some classes of functions by Landau type operators

Abstract This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine…

On Landau-type approximation operators

AbstractIn this paper, we define and study a general class of convolution operators based on Landau operators. A property of…

Approximation properties of a family of integral type operators

AbstractIn this paper we consider a general class of linear positive processes of integral type. These operators act on functions…

Ulam stability of a linear difference equation in locally convex spaces

Abstract We obtain a characterization of Ulam stability for the linear difference equation with constant coefficients $$x_{n+p}=a_₁x_{n+p-1}+…+a_{p}x_{n}$$ in locally convex…

Global random walk solvers for fully coupled flow and transport in saturated/unsaturated porous media

AbstractIn this article, we present new random walk methods to solve flow and transport problems in saturated/unsaturated porous media, including coupled flow…

Accurate spectral collocation computations of high order eigenvalues for singular Schrödinger equations-revisited

AbstractIn this paper, we continue to solve as accurately as possible singular eigenvalues problems attached to the Schrödinger equation. We…

Accurate spectral collocation solutions to 2nd-order Sturm–Liouville problems

AbstractThis work is about the use of some classical spectral collocation methods as well as with the new software system…

Inequalities for Information Potentials and Entropies

AbstractWe consider a probability distribution $$(p_0(x), p_1(x), . . .)$$ depending on a real parameter $$x$$. The associated information potential…

Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations

AbstractWe are concerned with the study of some classical spectral collocation methods, mainly Chebyshev and sinc as well as with…

Existence and uniqueness of the solution for an integral equation with supremum

AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of…