Entire Approximations for a Class of Truncated and Odd Functions

نویسنده

  • EMANUEL CARNEIRO
چکیده

We solve the problem of finding optimal entire approximations of prescribed exponential type (unrestricted, majorant and minorant) for a class of truncated and odd functions with a shifted exponential subordination, minimizing the L1(R)-error. The class considered here includes new examples such as the truncated logarithm and truncated shifted power functions. This paper is the counterpart of the works [6] and [7] where the analogous problem for even functions was treated.

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تاریخ انتشار 2012