余弦の冪による偶関数の近似
本記事では、バーンマンの定理を用いて偶関数を余弦の冪で近似する手法を解説する。ベッセル関数J(x)を(1+cos(x))/2で近似した例を出発点に、この定理がより高次の近似を系統的に構築する枠組みを提供することを示す。コメントで指摘された通り、この近似はバーンマン級数の一次項に相当する。
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