Convergence acceleration of series through a variational approach February 11 , 2008
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چکیده
By means of a variational approach we find new series representations both for well known mathematical constants, such as π and the Catalan constant, and for mathematical functions, such as the Rie-mann zeta function. The series that we have found are all exponentially convergent and provide quite useful analytical approximations. With limited effort our method can be applied to obtain similar exponentially convergent series for a large class of mathematical functions.
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A ug 2 00 4 Convergence acceleration of series through a variational approach March 2 , 2008 Paolo
By means of a variational approach we find new series representations both for well known mathematical constants, such as π and the Catalan constant, and for mathematical functions, such as the Rie-mann zeta function. The series that we have found are all exponentially convergent and provide quite useful analytical approximations. With limited effort our method can be applied to obtain similar ...
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تاریخ انتشار 2008