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Near optimality of the sinc approximation

Masaaki Sugihara

Mathematics of Computation · 2002 · 66 citations · 14 references

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Abstract

Near optimality of the sinc approximation is established in a variety of spaces of functions analytic in a strip region about the real axis, each space being characterized by the decay rate of their elements (functions) in the neighborhood of the infinity.

References

14

Handbook of Mathematical Functions

Donald A. McQuarrie · American Journal of Physics · 1966 · 40.9K citations

, , +10

Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables

D. B. Owen, Milton Abramowitz, Irene A. Stegun · Technometrics · 1965 · 16.5K citations

, , +11

Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables.

D. E. Barton, Moses Abramovitz, I. A. Stegun · Journal of the Royal Statistical Society Series A (General) · 1965 · 3.8K citations

, , +11

Numerical Methods Based on Sinc and Analytic Functions.

Frank Stenger · Mathematics of Computation · 1994 · 678 citations

, , +11

Double Exponential Formulas for Numerical Integration

Hidetosi Takahasi, Masatake Mori · Publications of the Research Institute for Mathematical Sciences · 1973 · 640 citations · Full text

, , +11