On compound operators constructed with binomial and Sheffer sequences

Author:

Crăciun Maria

Abstract

In this note we consider a general compound approximation operator using binomial sequences and we give a representation for its corresponding remainder term. We also introduce a more general compound approximation operator using Sheffer sequences. We provide convergence theorems for both studied operators.

Publisher

Academia Romana Filiala Cluj

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)

Reference30 articles.

1. Agratini, O., On a certain class of approximation operators, Pure Math. Appl., 11, no. 2, pp. 119-127, 2001.

2. Agratini, O., Binomial polynomials and their applications in approximation theory, Conf. Semin. Mat. Univ. Bari, 281, pp. 1-22, 2001.

3. Crăciun, M., Approximation operators constructed by means of Sheffer sequences, Rev. Anal. Numér. Théor. Approx., 30, no. 2, pp. 135-150, 2001, http://ictp.acad.ro/jnaat/journal/article/view/2001-vol30-no2-art3

4. Crăciun, M., On an approximation operator and its Lipschitz constant, Rev. Anal. Numér. Théor. Approx., 31, no. 1, pp. 55-60, 2002, http://ictp.acad.ro/jnaat/journal/article/view/2002-vol31-no1-art7

5. Di Bucchianico, A., Probabilistic and analytical aspects of the umbral calculus, CWI Tract, 119, Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam, 1997.

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1. On a compound approximation operator of D.D. Stancu type;Journal of Numerical Analysis and Approximation Theory;2006-02-01

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