Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate

SUBJECT

Code
Subject
MMN0004 Linear Approximation Processes
Section
Semester
Hours: C+S+L
Category
Type
Mathematics-Computer Science - in Romanian
5
2+1+0
speciality
optional
Teaching Staff in Charge
Prof. AGRATINI Octavian, Ph.D.,  agratinimath.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.
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.
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject