Sequences and Series of Functions

Steven G. Krantz
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Steven G. Krantz: Washington University, Department of Mathematics

Chapter Chapter 8 in A Handbook of Real Variables, 2004, pp 103-112 from Springer

Abstract: Abstract A sequence of functions is usually written $$ {f_1}(x),{f_2}(x), \ldots or \{ {f_j}\} _{j = 1}^\infty .$$ We will generally assume that the functions f j all have the same domain S.

Keywords: Differentiable Function; Limit Function; Uniform Convergence; Cauchy Sequence; Pointwise Convergence (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-0-8176-8128-9_8

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