I think that technically WiMax as in 802.16e (note the 'e') isn't properly 4G, but the following (802.16m, I think) is. A bit like LTE isn't 4G but LTE advance

I think that technically WiMax as in 802.16e (note the 'e') isn't properly 4G, but the following (802.16m, I think) is. A bit like LTE isn't 4G but LTE advanced is. However that's from a purely technical point of view. In terms of speed: LTE >> 802.16e.