Modifying an approximation process using non-Newtonian calculus
AbstractIn the present note we modify a linear positive Markov process of discrete type by using so called multiplicative calculus.…
Linear positive operators constructed by using Beta-type bases
AbstractStarting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree,…
A stop over Jain operators and their generalizations
AbstractOn the last five decades the interest of the study of positive approximation processes have emerged with growing evidence. A…
Approximation operators constructed by means of Sheffer sequences
Abstract In this paper we introduce a class of positive linear operators by using the “umbral calculus”, and we study…
On an approximation operator and its Lipschitz constant
AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…
Compound operators constructed with binomial and Sheffer sequences
AbstractIn this note we consider a general compound approximation operator using binomial sequences and we give a representation for its…
On compound operators depending on s parameters
AbstractIn this note we introduce a compound operator depending on s parameters using binomial sequences. We compute the values of…
On approximation by some Bernstein–Kantorovich exponential-type polynomials
AbstractSince the introduction of Bernstein operators, many authors defined and/or studied Bernstein type operators and their generalizations, among them are…
The iterates of positive linear operators with the set of constant functions as the fixed point set
AbstractLet Omega subset of R-p, p is an element of N* be a nonempty subset and B(Omega) be the Banach…
On a compound approximation operator of D.D. Stancu type
AbstractIn this note we consider a linear and positive compound approximation operator of D.D. Stancu type depending of several parameters.…
Publications
Diffusion in Random Fields. Applications to Transport in Groundwater
Book summaryA self-consistent theory of stochastic modeling of groundwater systems is presented. Mathematical theory is illustrated and complemented by numerical methods and simulation codes. doi: http://doi.org/10.1007/978-3-030-15081-5 book on publisher website…
Read More Methods of Newton and Newton-Krylov type
Books, Chebyshev method, Convergence orders, divided differences, eigenvalue/eigenvector problems, history, inexact/perturbed iterations, iterative methods, Krylov methods, linear systems in Rn, local convergence, Newton method, nonlinear systems in Rn, Numerical Analysis, secant/chord method, successive approximations
Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by Krylov methods (GMRES, GMBACK, MINPERT) are also dealt with, as…
Read More Solutions with a prescribed interval of positivity for differential systems with nonlocal conditions
AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential systems subject to linear nonlocal conditions. The main features concern…
Read More