GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
PROPERTIES OF APPROXIMATION BY SEQUENCES OF LINEAR POSITIVE OPERATOR 2/6311305
Course Title: PROPERTIES OF APPROXIMATION BY SEQUENCES OF LINEAR POSITIVE OPERATOR 2
Credits 3 ECTS 7.5
Course Semester 1 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
having to ability for research in approximation theory
Learning Korovkin type approximation by linear positive operators
Applicable the weighted approximation theorems
Learning the properties of approximation of the linear positive operators involving orthogonal polynomials
Learning the properties of approximation of GBS operators
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Korovkin type theorems for a sequences of linear positive operators acting in the weighted spaces of continuous functions defined on unbounded sets,
2. Week  Korovkin type theorems for a sequences of linear positive operators acting in the Lp and weighted Lp spaces
3. Week  Approximation by Durrmeyer type, Szasz-Beta type and Phillips operators and mixed summation type operators
4. Week   Obtaining the Rate of Convergence and degree of approximation
5. Week  King type generalizations of linear positive operators
6. Week  Jain type Generalization of linear positive operators
7. Week  Applications and solutions of problems
8. Week  approximation by Szasz operators involving Apppell polynomials
9. Week  approximation by Szasz operators involving Charlier polynomials
10. Week  approximation by Szasz operators involving Sheffer and Brenke polynomials
11. Week  The convergnece properties of sequences of linear positive operators in the space of continuous functions of several variables.
12. Week  GBS (Generalized Boolean Sum) type of linear pısitive operators in two variables.
13. Week  degree of approximation of GBS operators in mixed modulus of convergence
14. Week  Solutions of problems
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
20
 Assignment
3
20
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
 Reading Tasks
14
4
56
 Searching in Internet and Library
14
3
42
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
14
14
 Final Exam and Preperation for Final Exam
1
22
22
 Other (should be emphasized)
5
2
10
 TOTAL WORKLOAD: 
186
 TOTAL WORKLOAD / 25: 
7.44
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5X
6X
7X
8X
9X
10X
11X
12X
 -- NAME OF LECTURER(S)
   (Prof.Dr. NURHAYAT İSPİR 2. Prof. Dr. H. Gül İNCE İLARSLAN)
 -- WEB SITE(S) OF LECTURER(S)
   (websitem.gazi.edu.tr/site/nispir www.websitem.gazi.edu.tr/ince)
 -- EMAIL(S) OF LECTURER(S)
   (nispir@gazi.edu.tr ince@gazi.edu.tr )