Abstract
Motivated by (1.15) at the end of the previous chapter, we wish to define an infinite sum of power functions; however, before we can do so, we need to define an infinite sum of real (or complex) numbers. That is, our first task will be to consider an infinite sequence of numbers a1, a2,..., a n ,..., and examine when and how we can make sense of the sum
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© 2004 Springer Science+Business Media New York
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Christensen, O., Christensen, K.L. (2004). Infinite Series. In: Approximation Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4448-2_2
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DOI: https://doi.org/10.1007/978-0-8176-4448-2_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3600-5
Online ISBN: 978-0-8176-4448-2
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