Sequences and Series of Functions

Houshang H. Sohrab
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Houshang H. Sohrab: Towson University, Mathematics

Chapter Chapter 8 in Basic Real Analysis, 2014, pp 345-409 from Springer

Abstract: 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.

Keywords: Partial Summation Formula; Approximate Identity; Elementary Transcendental Functions; Bernoulli Polynomials; Uniform Convergence (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4939-1841-6_8

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