Title: Criteria for the Application of Double Exponential Transformation,
Abstract: The double exponential formula was introduced for calculating definite
integrals with singular point oscillation functions and Fourier-integrals. The
double exponential transformation is not only useful for numerical computations
but it is also used in different methods of Sinc theory. In this paper we use
double exponential transformation for calculating particular improper
integrals. By improving integral estimates having singular final points. By
comparison between double exponential transformations and single exponential
transformations it is proved that the error margin of double exponential
transformations is smaller. Finally Fourier-integral and double exponential
transformations are discussed.