"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science
| Theory of Linear Operators |
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| Teaching Staff in Charge |
Prof. AGRATINI Octavian, Ph.D., agratini math.ubbcluj.ro |
| Aims |
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The course provides the students with the best-known applications of Korovkin-type approximation theory and determines fruitful directions for future advanced study.
Knowing and approaching the construction methods of approximation operators. Knowing the most recent results obtained about the generalizations of some classical approximation operators. |
| References |
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[1] AGRATINI, O., Aproximare prin operatori liniari, Presa Universitara Clujeana, 2000.
[2] ALTOMARE, F., CAMPITI, M., Korovkin-type Approximation Theory and its Applications, Walter de Gruyter, Berlin-New York, 1994. [3] ANASTASSIOU, G.A., GAL, S.G., Approximation Theory. Moduli of Continuity and Global Smoothness Preservation, Birkauser, Boston, 2000. [4] BENNETT, C., SHARPLEY, R., Interpolation of Operators, Academic Press, Inc., New York, 1998. [5] DITZIAN, Z., TOTIK, V., Moduli of Smoothness, Springer Series in Computation Mathematics, Vol. 9, Springer-Verlag, New York Inc., 1987. [6] STANCU, D.D., COMAN, GH., AGRATINI, O., TRIMBITAS, R., Analiza numerica si teoria aproximarii, Vol.I, Presa Universitara Clujeana, 2001. |
| Assessment |
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During the semester: a Control Paper.
In the session: oral examination. The final mark: arithmetic mean of the above 2 marks having the weights 1 and 2 respectively. |
| Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |