Approximation Theory

The divided difference of a function of three variables and its representation by a triple integral

8 months ago

Abstract AuthorsD.V. Ionescu Tiberiu Popoviciu Institute of Numerical Analysis Keywords? Paper coordinatesD.V. Ionescu, The divided difference of a function of three…

The divided difference of order n of a function of p variables and its representation by a multiple integral

8 months ago

Abstract AuthorsD.V. Ionescu Institutul de Calcul Keywords? Paper coordinatesD.V. Ionescu, The divided difference of order n of a function of…

A new extension of the Lacroix quadrature formula

8 months ago

Abstract AuthorsD.V. Ionescu, Institutul de Calcul https://ictp.acad.ro/dumitru-v-ionescu A. Coţiu Keywords? Paper coordinatesD.V.Ionescu, A. Cotiu, A new extension of the Lacroix quadrature…

On a class of cubature formulae for triple integrals

8 months ago

Abstract AuthorsD.V. Ionescu Institutul de Calcul Keywords? Paper coordinatesD.V. Ionescu, On a class of cubature formulae for tripe integrals, C.…

Extension of the Newton quadrature formula

8 months ago

Abstract AuthorsD. V. Ionescu Institutul de Calcul P. Pavel Keywords? Paper coordinatesD. V. Ionescu, P. Pavel, Extension de la formule de quadrature…

Szász–Mirakjan–Durrmeyer operators defined by multiple Appell polynomials

10 months ago

Abstract The paper aims at approximating functions through a sequence of linear positive operators of continuous type. First we define…

Spherical Shepard-Bernoulli operator

1 year ago

AbstractWe consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on…

On a generalization of the Gauss formula for numerical integration

1 year ago

Abstract ? AuthorsTiberiu Popoviciu (Institutul de Calcul) Original title (in Romanian)T. Popoviciu, Asupra unei generalizări a formulei de integrare numerică…

Univariate Shepard operators combined with least squares fitting polynomials

1 year ago

Abstract We obtain new univariate Shepard operators using polynomials that are constructed such that they fit the interpolation data in…

A Stancu type extension of the Cheney-Sharma Chlodovsky operators

1 year ago

Abstract In this paper we introduce a Stancu type extension of the Cheney-Sharma Chlodovsky operators based on the ideas presented…

Approximation Theory

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