The best day to arrive at Kagoshima is Tuesday and it would be best to avoid Monday, as prices are on average 88.08% higher than on Tuesday. (Average prices, based on 220 datapoints.)
The cheapest airline flying from Kagoshima to Tokyo is Brussels Airlines. They are 53% cheaper than ANA Wings. (Average prices, based on 215 datapoints.)
The best time to fly is at around 11. (Average prices, based on 391 datapoints.)