Polynomials and Interpolations

E. Mahmudov ()
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E. Mahmudov: Istanbul Technical University

Chapter Chapter 6 in Single Variable Differential and Integral Calculus, 2013, pp 171-183 from Springer

Abstract: Abstract If selected values of a function are given in a tabular representation, it is often desirable to obtain an easily computable formula which yields both those given values and approximations for in-between points, not included in the table. This procedure is called interpolation. In this chapter, we obtain formulas of Lagrange and Newton for polynomials which accomplish this interpolation. This necessitates the study of the factorization of polynomials. Finally, we study the approximation by polynomials of a function defined on a closed interval.

Keywords: Simple Root; Russian Mathematician; Interpolation Polynomial; Complex Root; Bernstein Polynomial (search for similar items in EconPapers)
Date: 2013
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DOI: 10.2991/978-94-91216-86-2_6

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