@article{ASNSP_1989_4_16_2_259_0, author = {Altomare, Francesco}, title = {Limit semigroups of {Bernstein-Schnabl} operators associated with positive projections}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {259--279}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 16}, number = {2}, year = {1989}, mrnumber = {1041898}, zbl = {0706.47022}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1989_4_16_2_259_0/} }
TY - JOUR AU - Altomare, Francesco TI - Limit semigroups of Bernstein-Schnabl operators associated with positive projections JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1989 SP - 259 EP - 279 VL - 16 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1989_4_16_2_259_0/ LA - en ID - ASNSP_1989_4_16_2_259_0 ER -
%0 Journal Article %A Altomare, Francesco %T Limit semigroups of Bernstein-Schnabl operators associated with positive projections %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1989 %P 259-279 %V 16 %N 2 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1989_4_16_2_259_0/ %G en %F ASNSP_1989_4_16_2_259_0
Altomare, Francesco. Limit semigroups of Bernstein-Schnabl operators associated with positive projections. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 16 (1989) no. 2, pp. 259-279. http://www.numdam.org/item/ASNSP_1989_4_16_2_259_0/
[1] Proiettori positivi, famiglie risolventi e problema di Dirichlet, Ricerche Mat., Vol. XXVI (1977), 1, 63-78. | MR | Zbl
,[2] Operatori di Lion sul prodotto di spazi compatti, semigruppi di operatori positivi e problemi di Dirichlet, Ricerche Mat., Vol. XXVIII (1978), 1, 33-58. | MR | Zbl
,[3] Teoremi di approssimazione di tipo Korovkin in spazi di funzioni, Rend. Mat., (6), 13 (1980), no. 3, 409-429. | MR | Zbl
,[4] A linear function from a space of polynomials onto a space of harmonic polynomials, J. London Math. Soc. (2), 5 (1972), 529-538. | MR | Zbl
,[5] Theorems of Korovkin type for adapted spaces, Ann. Inst. Fourier (Grenoble) 23 (1973), 245-260. | EuDML | Numdam | MR | Zbl
,[6] Geometric theory of Korovkin sets, J. Approx. Theory 15 (1975), 161-189. | MR | Zbl
- ,[7] Polynômes harmoniques et polyharmoniques, Second Colloque sur les équations aux dérivées partielles (Bruxelles, 1954). | MR | Zbl
- ,[8] Nonnegative order iterates of Bernstein polynomials and their limiting semigroups, Portugal Math. 42 (1983-84), no. 3, 225-248 (1985). | EuDML | MR | Zbl
,[9] A generalization of Bohman-Korovkin's theorem, Math. Z. 122 (1971) 63-70. | EuDML | MR | Zbl
- ,[10] Semigroups of linear operators and applications, Oxford University Press, New York, 1985. | MR | Zbl
,[11] Note on a generalized Bohman-Korovkin theorem, J. Math. Anal. Appl. 45 (1974), 43-46. | MR | Zbl
,[12] Iteration of positive approximation operators, J. Approx. Theory 3 (1970), 310-339. | MR | Zbl
- ,[13] Iterates of Bernstein polynomials, Pacific J. Math. 21 (1967), no. 3, 511-520. | MR | Zbl
- ,[14] The saturation class and iterates of the Bernstein polynomials, J. Approx. Theory, 8 (1973), 1-18. | MR | Zbl
,[15] Asymptotic properties of powers of Bernstein operators, J. Approx. Theory, 29 (1980) 323-335. | MR | Zbl
,[16] R. Nageled., One-parameter semigroups of positive operators, Lecture Notes in Mathematics, n. 1184, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1986. | MR | Zbl
[17] A generalization of the Bernstein polynomials and limit of its iterations, Sci. Rep. Kanazawa Univ., 19 (1974), no. 1, 1-7. | MR | Zbl
,[18] Saturation of positive linear operators, Tôhoku Math. J. 28 (1976), 239-243. | MR | Zbl
,[19] The degree of convergence of positive linear operators, Tôhoku Math. J. 29 (1977), 81-89. | MR | Zbl
,[20] Saturation of bounded linear operators, Tôhoku Math. J. 30 (1978), 69-81. | MR | Zbl
,[21] Convergence of positive linear approximation processes, Tôhoku Math. J. (2) 35 (1983) n. 3, 441-458. | MR | Zbl
,[22] The convergence and saturation of iterations of positive linear operators, Math. Z. 194, 397-404 (1987). | MR | Zbl
,[23] A note on Korovkin test families, Arch. Math. 23 (1972) 521-524. | MR | Zbl
,[24] Eine Verallgemeinerung der Bernsteinpolynome, Math. Ann. 179 (1968), 74-82. | MR | Zbl
,[25] Zum Saturationsproblem der Verallgemeinerten Bernsteinoperatoren, Proc. Conf. on "Abstract spaces and approximation" held at Oberwolfach, July 18-27, 1968, edited by P.L. Butzer and B.Sz.-Nagy, Birkhäuser Basel, 1969, 281-289. | MR | Zbl
,[26] Über Gleichmäßige Approximation durch Positive Lineare Operatoren, Constructive theory of functions (Proc. Internat. Conf. Vama, 1970) 287-296, Izdat. Bolgar. Akad. Nauk Sofia, 1972. | MR | Zbl
,[27] Über Potenzen von Verallgemeinerten Bernstein Operatoren, Mathematica (Cluj) 8-31, 1 (1966), 173-180. | MR | Zbl
,[28] Approximation of semi-groups of operators, Pacific J. Math. 8 (1958), 887-919. | MR | Zbl
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