Integrable and differentiable approximations to Planck's equation
Гонзало Паез, Marija Strojnik · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1998
We evaluate the error that arises when approximating the Planck's equation with a truncated series of t terms. We improve the accuracy of the truncated series representation by approximating the resulting error, obtaining integrable and differentiable approximations to the Planck's equation. We obtain the absolute error of less than 0.01 maximum, and relative error of 0.6% with just three terms in the Planck's equation for frequency. Approximately 0.03 absolute error maximum is obtained with only two terms, with 2.4% relative error.