Differential and Integral Calculus Theory and Cases

Sequences and Series of Functions

Author(s): Carlos Polanco * .

Pp: 116-124 (9)

Doi: 10.2174/9789811465123120010014

* (Excluding Mailing and Handling)


This chapter reviews two operators the sequence of functions (ƒκ) and the series of functions Σnκ=1ƒκ In both cases, we will see the concepts of uniform and pointwise convergence to the function they converge and the persistence of the properties these functions have with respect to the function ƒ they converge to.

Keywords: Differentiation, Monotonicity, Periodic points, Pointwise convergence, Semi-continuous functions, Sequences of functions, Series of functions, Uniform convergence, Uniform limit theorem.

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