Right way to play.

When play the following half notes:
E F G F E
a buzzing sound still continues when i leave G note also if I leave the G note soon buzzing-funky sound is created due to vibration.
How to stop this sound?

Firstly check ur guitar for buzzing. If there is a bent to the neck. Take it to some luthier to check that..Else ask some experienced player to play the same notes to verify if its the guitar or the way u r playing the notes

For avoiding buzz while playing make sure u place ur finger tip either in the middle of the fret or close to the fret with proper pressure.