A Korovkin-type theorem for generalizations of boolean sum operators and approximation by trigonometric pseudopolynomials

Authors

  • C. Badea University of Bucharest, Romania
  • I. Badea University of Craiova, Romania
  • C. Cottin University of Duisburg, Germany
Abstract views: 143

Abstract

Not available.

Downloads

Download data is not yet available.

References

Badea, C.; Badea, I.; Cottin, C.; Gonska, H. H. Notes on degree of approximation of B-continuous and B-differentiable functions. Approx. Theory Appl. 4 (1988), no. 3, 95-108, MR0979829.

Badea, C.; Badea, I.; Gonska, H. H. A test function theorem and approximation by pseudopolynomials. Bull. Austral. Math. Soc. 34 (1986), no. 1, 53-64, MR0847972.

Badea, Ion The modulus of continuity in the sense of Bögel, and some applications to approximation by a Bernšteĭn operator. (Romanian) Studia Univ. Babeş-Bolyai Ser. Math.-Mech. 18 (1973), no. 2, 69-78, MR0382921.

Bögel, Karl, Mehrdimensionale Differentiation von Funktionen mehrerer reeller Veränderlichen. (German) J. Reine Angew. Math. 170 (1934), 197-217, MR1581409, https://doi.org/10.1515/crll.1934.170.197

Bögel, Karl, Über mehrdimensionale Differentiation, Integration und beschränkte Variation. (German) J. Reine Angew. Math. 173 (1935), 5-30, MR1581453, https://doi.org/10.1515/crll.1935.173.5

Bögel, Karl, Über die mehrdimensionale Differentiation. (German) Jber. Deutsch. Math.-Verein. 65 1962/1963 Abt. 1, 45-71, MR0146311.

Bojanic, R., Shisha, O., Approximation of continuous, periodic functions by discrete linear positive operators. J. Approximation Theory 11 (1974), 231-235, MR0352841, https://doi.org/10.1016/0021-9045(74)90015-x

Gonska, H. H., Quantitative Approximation in C(X). Habilitationsschrift, Universität Duisburg 1985.

Ichim, Ion La construction d'un opérateur linéaire positif. (French) [The construction of a positive linear operator] Rev. Roumaine Math. Pures Appl. 30 (1985), no. 8, 659-665, MR0826690.

Kis, Ottó, Szabados, J. On some de la Vallée-Poussin type discrete linear operators. Acta Math. Hungar. 47 (1986), no. 1-2, 239-260, MR0836418, https://doi.org/10.1007/bf01949148

Marchaud, A., Différences et dérivées d'une fonction de deux variables. C.R. Acad. Sci. 178 (1924), pp. 1467-1470.

Marchaud, A., Sur les dérivées et sur les différences des fonctions de variables réelles. J. Math. Pures et Appl. 6 (1927), pp. 337-425.

Morozov, È. N., Convergence of a sequence of positive linear operators in the space of continuous 2π-periodic functions of two variables. (Russian) Kalinin. Gos. Ped. Inst. Uč. Zap. 26 1958 129-142, MR0131103.

Popoviciu, T., Sur les solutions bornées et les solutions mesurables de certaines equations fonctionelles. Mathematica (Cluj) 14 (1938), pp. 47-106.

Downloads

Published

1988-02-01

How to Cite

Badea, C., Badea, I., & Cottin, C. (1988). A Korovkin-type theorem for generalizations of boolean sum operators and approximation by trigonometric pseudopolynomials. Anal. Numér. Théor. Approx., 17(1), 7–17. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1988-vol17-no1-art2

Issue

Section

Articles