Nizovi i redovi funkcija

Piškor, Danijela (2016) Nizovi i redovi funkcija. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this thesis we study sequences and series of functions. In the first chapter we present basic facts about sequences and series of numbers. The second chapter considers two basic types of convergence of sequences of functions, pointwise and uniform convergence. We present several test for uniform convergence and study properties of functions that uniform convergence preserves. The next chapter deals with series of functions; we apply results from the previous chapter to obtain analogous results for series of functions. The last chapter considers the special forms of series of functions, power series. We study the radii of convergence as well as arithmetic operations on power series. At the end of this chapter we define Taylor series and give some applications.

Item Type: Thesis (Diploma thesis)
Supervisor: Arambašić, Ljiljana
Date: 2016
Number of Pages: 49
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 09 Nov 2016 13:03
Last Modified: 09 Nov 2016 13:03
URI: http://digre.pmf.unizg.hr/id/eprint/5276

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