Subject: Theory of Linear Operators	Code: MC030	

Semester	 Hours: C+S+L	Type	 Section	
8	2+2+0	optional	Mathematics	
8	2+2+0	optional	Mathematics-Computer Science	

Teaching Staff in Charge	Prof. AGRATINI Octavian, Ph.D., agratini@math.ubbcluj.ro	
Aims	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	
Content	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	
Selective References	[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	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