LINEAR INTERPOLATION OPERATOR
Interpolation often utilizes polynomials to approximate a value at a point that we want to know. Besides the polynomial, there are family of other functions that can be used to solve the problem of interpolation. Chebyshev system is a set of functions which linearly independent. In addition, a li...
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| Main Author: | |
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/44301 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Interpolation often utilizes polynomials to approximate a value at a point that we
want to know. Besides the polynomial, there are family of other functions that
can be used to solve the problem of interpolation. Chebyshev system is a set of
functions which linearly independent. In addition, a linear interpolation operator
is also defined so that this operator can be viewed as a mapping. Consequently a
Lebesgue function can be defined from that operator.
This final project will discuss some examples of Chebyshev systems that can be
used to solve interpolation problems. The Chebyshev system comes from family of
polynomial, cosine, exponential and hyperbolic function. Furthermore, in this final
project also discussed the relationship of an interpolation operator with Lebesgue
function. |
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