TY - JOUR AB - Purpose– This paper seeks to present an original method for transforming multiple integrals into simple integrals.Design/methodology/approach– This can be done by using α‐dense curves invented by Y. Cherruault and A. Guillez at the beginning of the 1980s.Findings– These curves allow one to approximate the space Rn (or a compact of Rn) with the accuracy α. They generalize fractal curves of Mandelbrobdt. They can be applied to global optimization where the multivariables functional is transformed into a functional depending on a single variable.Practical implications– Applied to a multiple integral, the α‐dense curves using Chebyshev's kernels permit one to obtain a simple integral approximating the multiple integral. The accuracy depends on the choice of α.Originality/value– The paper presents an original method for transforming integrals into simple integrals. VL - 37 IS - 1 SN - 0368-492X DO - 10.1108/03684920810851023 UR - https://doi.org/10.1108/03684920810851023 AU - Mora G. AU - Cherruault Y. PY - 2008 Y1 - 2008/01/01 TI - A new approach to the reduction of multiple integrals to simple ones using Chebyshev's kernels T2 - Kybernetes PB - Emerald Group Publishing Limited SP - 104 EP - 119 Y2 - 2024/03/28 ER -