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.
v
Actions (login required)
 |
View Item |
Altmetric
Altmetric