There are 3 kinds of screens:
- glossy (glass): vivid, easy to care for, susceptible to reflections, cheaper.
- matte (anti-glare): colors not as strong, can be comfortable. Worst in bright sunlight.
- anti-reflective: colors almost as vivid as glossy, difficult to care for, costly. Not really difficult (warm water and soft cloth) but more difficult than the general public can do. Used on high-end displays/TVs.
You can tell the difference between anti-glare and anti-reflective as one has more texture/grain vs smooth. Also when looking at the reflection of a point source of light, the anti-reflective will dim the point, the anti-glare will spread it out like a ball, which is why it washes out in bright ambient light.
For a high resolution mobile screen only glossy and anti-reflective would give a good image in wide range of lighting (assuming you can shuffle to avoid reflections). Care and cost prohibit anti-reflective.
My preferences are anti-reflective for home monitors, glossy for laptops, phones, tablets.