Norm preserving extension of convex Lipschitz functions
AbstractAuthorsS. Cobzas Institutul de Matematica Cluj-Napoca, Romania C. Mustata Institutul de Matematica, Cluj-Napoca, Romania (ICTP) KeywordsReferencesSee the expanding block below.…
Approximation Theory
On the approximation of the global extremum of a semi-Lipschitz function
AbstractIn this paper one obtains a sequential procedure for determining the global extremum of a semi-Lipschitz real-valued function defined on…
On the Extensions Preserving the Shape of a Semi-Hölder Function
AbstractWe present some results concerning the extension of a semi-Hölder real-valued function defined on a subset of a quasi-metric space,…
From uniform to statistical convergence of binomial-type operators
AbstractSequences of binomial operators introduced by using umbral calculus are investigated from the point of view of statistical convergence. This…
Shift λ-Invariant Operators
AbstractThe present note is devoted to a generalization of the notion of shift invariant operators that we call it λ-invariant…
On a class of approximation operators
AbstractIn this note we construct a class of approximation operators using polynomial sequences of binomial type. We compute the expression…
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…