The Factorizational Theory of Finite Asymptotic Expansions in the Real Domain: A Survey of the Main Results

Antonio Granata^{*}

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References

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http://dx.doi.org/10.1007/s10476-007-0301-0

[2] Granata, A. (2011) Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part I: Two-Term Expansions of Differentiable Functions. Analysis Mathematica, 37, 245-287. For an Enlarged Version with Corrected Misprints see arXiv:1405.6745v1 [math.CA]. http://dx.doi.org/10.1007/s10476-011-0402-7

[3] Granata, A. (2010) The Problem of Differentiating an Asymptotic Expansion in Real Powers. Part II: Factorizational Theory. Analysis Mathematica, 36, 173-218. http://dx.doi.org/10.1007/s10476-010-0301-3

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[8] Granata, A. (1980) Canonical Factorizations of Disconjugate Differential Operators. SIAM Journal on Mathematical Analysis, 11, 160-172. http://dx.doi.org/10.1137/0511014

[9] Granata, A. (1988) Canonical Factorizations of Disconjugate Differential Operators—Part II. SIAM Journal on Mathematical Analysis, 19, 1162-1173. http://dx.doi.org/10.1137/0519081

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[13] Granata, A. (2010) The Problem of Differentiating an Asymptotic Expansion in Real Powers. Part I: Unsatisfactory or Partial Results by Classical Approaches. Analysis Mathematica, 36, 85-112.

http://dx.doi.org/10.1007/s10476-010-0201-6

[14] Schoenberg, I.J. (1982) Two Applications of Approximate Differentiation Formulae: An Extremum Problem for Multiply Monotone Functions and the Differentiation of Asymptotic Expansions. Journal of Mathematical Analysis and Applications, 89, 251-261. http://dx.doi.org/10.1016/0022-247X(82)90101-9