Approximation methods obtained by using the umbral calculus
Book summaryUmbral calculus is used in this book for…? AuthorM. Craciun Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Book…
Approximation Theory
Best approximation and unique extension of Lipschitz functions
AbstractAuthorsCostica Mustata Institutul de Calcul, Romania (ICTP) KeywordsPaper coordinatesC. Mustata, Best approximation and unique extension of Lipschitz functions, J. Approx. Theory…
Norm preserving extension of convex Lipschitz functions
AbstractAuthorsStefan Cobzas Institutul de Matematica Cluj-Napoca, Romania Costica Mustata Institutul de Matematica, Cluj-Napoca, Romania (ICTP) KeywordsPaper coordinatesS. Cobzas, C. Mustata,…
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,…