On the density of scattered translates of the general multiquadric in C([a, b])

This note concerns density properties of the general multiquadric, (x + c2)k−1/2, where k is a fixed natural number. We establish that scattered translates of the general multiquadric are dense in C([a, b]), where a and b are finite. As a corollary, we show that scattered translated of the general multiquadric are dense in the function spaces L([a, b]), for 1 ≤ p <∞.