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.…
Approximation Theory
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…
Notes on the convex functions of higher order (IX)
Abstract This is the paper where the cardinal splines are conceived for the first time for approximating. AuthorsTiberiu Popoviciu (Institutul…