Korovkin's Linear operators and Approximation Theory and Sequence of Functions

Hatai, Subinoy and D, Sukumar (2018) Korovkin's Linear operators and Approximation Theory and Sequence of Functions. Masters thesis, Indian Institute of Technology Hyderabad.

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In my project I am doing my work on the Korovkin's theorem and some standard version of Ko- rovkin's theorem and thier applications. The small description of my topic is (1) The section Linear Positive Functional de�ned on an existence domain of functions has some de�nitions of linear posisitive functionals and examples. If a sequence of linear positive functionals define on Cb(R) for which conditions it will be convergent and where converge. (2) The section Positive Linear Operator I state the Korovkin's first theorem and its corollary. In this theorem it says that if a sequence of positive linear operators defined on C[a; b] satisfies some conditions then it is uniformly convergent on C[a; b]. (3) The section Approximation theory I state small thing of orthogonality of a set of functions and Fejer's operator. v

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IITH Creators:
IITH CreatorsORCiD
Item Type: Thesis (Masters)
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 20 Jun 2018 11:02
Last Modified: 20 Jun 2018 11:02
URI: http://raiith.iith.ac.in/id/eprint/4048
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