Approximation of derivatives by nonlinear operators

Authors

  • Radu Păltănea Department of Mathematics, Transilvania University, Brasov, Romania

DOI:

https://doi.org/10.33993/jnaat312-723

Keywords:

simultaneous approximation, generalized convexity of higher order, convex operators
Abstract views: 193

Abstract

Two theorems on simultaneous approximation are obtained by using generalized convex operators.

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References

Altomare F. and Campiti, M., Korovkin-type approximation theory and its applications, W. de Gruyter Series Studies in Mathematics, 17, Walter de Gruyter & Co., Berlin, 1994. DOI: https://doi.org/10.1515/9783110884586

Korovkin P. P., Linear operators and the theory of approximation, Fitmatgiz, Moscow, 1959 (in Russian).

Moldovan (Popoviciu) E., Sur une generalization des fonctions convexes, Mathematica (Cluj), 1(24), pp. 4-80, 1959.

Nemeth A. B., Korovkin's theorem for nonlinear 3-parameter families, Mathematica (Cluj), 11(34), no. 1, pp. 135-136, 1969.

Păltănea R., Approximation operators and their connection to some particular allures, PhD Thesis, Babeş-Bolyai Univ., Cluj-Napoca, 1992 (in Romanian).

Popoviciu T., About the best approximation of functions by polynomials, Mathematical Monographs, Sec. Mat. Univ. Cluj, III, 1937.

Popoviciu T., Les fonctions convexes, Herman & C-ie, Paris, 1945.

Sendov B. and Popov V., The convergence of derivatives of linear positive operators, C. R. Acad. Bulgare Sci., 22, pp. 507-509, 1969 (in Russian).

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Published

2002-08-01

How to Cite

Păltănea, R. (2002). Approximation of derivatives by nonlinear operators. Rev. Anal. Numér. Théor. Approx., 31(2), 187–194. https://doi.org/10.33993/jnaat312-723

Issue

Vol. 31 No. 2 (2002)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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