Bessel関数の零点を標本点に持つ補間および数値積分公式
Interpolation and Quadrature Formulae Whose Abscissae are the Zeros of the Bessel Functions

Hidenori Ogata, Masaaki Sugihara
1996 Nihon Oyo Suri Gakkai ronbunshi  
. An interpolation formula whose abscissae are the zeros of the Bessel functions of integra ユorder is proposed along with its theoretical error analysis , Based on the 三 nterpolation formula , two kinds of quadrature forlnulae of interpolatory type are also proposed : one is for " symme 七 ric integrals " 隠 ∫( x ) d= and the o 七 her for " anti − symmetric integrals " ∫ 鑑 sgn x f〔 x ) dx. Both the efHciency of the former quadrature and that of the latter quadrature are studied in theory and in
more » ... ctice , especiaIly compared with the eMciency of the tapezoidal formula.
doi:10.11540/jsiamt.6.1_39 fatcat:fqpvm4elnfdjvfh4xk34bv6qpi