Izmir is on Turkish time, UTC+3, like the rest of the country. What changes from city to city is the daylight.
Turkey keeps one time zone across roughly 1,600 km, so the clock in Izmir matches Istanbul exactly while the sun rises at a different moment. The figures above are calculated for Izmir's own coordinates and update as the date changes.
Izmir is Turkey's third city and its main Aegean port, built around a wide bay. It has a reputation for being the most relaxed of the big Turkish cities, and the seafront promenade at Kordon is where the whole city walks in the evening.
It is also the natural base for the Aegean archaeological sites: Ephesus is about an hour south, and Pergamon about two hours north.
Izmir is in the Aegean region of Turkey.