On a compound approximation operator of D.D. Stancu type

Authors

  • Maria Crăciun Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy

Keywords:

compound linear and positive approximation operators, representation of remainder

Abstract

In this note we consider a linear and positive compound approximation operator of D.D. Stancu type depending of several parameters; we give the expressions of this operator on the test functions, the conditions under which this operator converges to a given continuous function, an estimate of the order of approximation using the moduli of continuity and an integral representation of the remainder. Also, by using Stancu's method we find an expression for the remainder using divided differences of second order for a special case of this operator.

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Published

2006-02-01

How to Cite

Crăciun, M. (2006). On a compound approximation operator of D.D. Stancu type. Rev. Anal. Numér. ThéOr. Approx., 35(1), 33-40. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no1-art5

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