In this paper, we prove that any continuous function on a bounded closed interval of □ can be approximated by the superposition of a bounded sigmoidal function with a fixed weight. In addition, we show that any continuous function over □ which van...
In this paper, we prove that any continuous function on a bounded closed interval of □ can be approximated by the superposition of a bounded sigmoidal function with a fixed weight. In addition, we show that any continuous function over □ which vanishes at infinity can be approximated by the superposition of a bounded sigmoidal function with a weighted norm. Our proof is constructive.