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Sequences and Series of Functions

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Basic Real Analysis
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Abstract

In Chap. 2, we studied sequences and series of (constant) real numbers. In most problems, however, it is desirable to approximate functions by more elementary ones that are easier to investigate. We have already done this on a few occasions. For example, in Chap. 4, we looked at the uniform approximation of continuous functions by step, piecewise linear, and polynomial functions.

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Sohrab, H.H. (2014). Sequences and Series of Functions. In: Basic Real Analysis. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-1841-6_8

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