In the present chapter, we confine our attention to sequences and series of functions. Sequences and series of functions are especially useful in obtaining approximations of a given function and defining new functions from known ones. We will consider sequences whose terms are functions and pay attention to the general properties that are associated with the uniform convergence of sequences and series of functions.

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Sequences and Series of Functions

  • Naokant Deo,
  • Ryozi Sakai

摘要

In the present chapter, we confine our attention to sequences and series of functions. Sequences and series of functions are especially useful in obtaining approximations of a given function and defining new functions from known ones. We will consider sequences whose terms are functions and pay attention to the general properties that are associated with the uniform convergence of sequences and series of functions.