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