کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607414 1337855 2011 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
L1L1-approximation to Laplace transforms of signed measures
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
L1L1-approximation to Laplace transforms of signed measures
چکیده انگلیسی

For functions that are piecewise equal to one-sided Laplace transforms of signed measures, we construct interpolations that are entire functions with interpolation points that are zeros of Laguerre–Pólya entire functions.If the interpolated function ff is sufficiently regular, these interpolations are best approximations in L1L1-norm to ff by functions of fixed exponential type. This is demonstrated for the example fa,b(x)=eax(1+ebx)−1 with 0

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 163, Issue 10, October 2011, Pages 1492–1508
نویسندگان
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