From the rising of the sun unto the going down of the same Jehovah's name is to be praised.

From the rising of the sun unto the going down of the same, the name of the Lord is worthy of praise.

From the rising of the sun unto its going in, Praised is the name of Jehovah.

From the coming up of the sun to its going down, the Lord's name is to be praised.

From the rising of the sun - From the farthest east to the farthest west - the sun in its rising and setting being the remotest object that we see in the horizon.
The Lord's name is to be praised - This does not mean that it "will" be - though that is true; but that it "ought" to be - that it is worthy of universal praise. All people in the east and in the west - everywhere - "should" praise and adore that name.

From the rising of the sun - From morning to evening be always employed in the work. Or it may be a call on all mankind to praise God for his innumerable mercies to the human race. Praise him from one end of the world unto the other. And therefore the psalmist adds,

From the rising of the sun unto the going down of the same,.... Meaning not from morning tonight; for it designs not time, but place, even all the space from east to west, or that lies between the rising and setting sun; even all nations, and the inhabitants of them; and who ought to praise the Lord for the rising sun, and the benefit and advantages of it; and yet many of them have worshipped the sun, and served the creature more than and besides the Creator. All within this compass are the creatures of God, and the care of his providence, and therefore are bound to praise him and yet he has had this tribute due unto him but from a few. Here it respects Gospel times, when the Gospel should be sent into all the world; and many should be called from the east and west, from the north and south, and fear the Lord and worship him, and offer a pure offering of praise unto him; and his name be great among the Gentiles, from the rising of the sun to the going down of the same, Malachi 1:11. For within this wide space
the Lord's name is to be praised; it ought to be, though it is not; and ere long it will be, when all nations shall come and worship before him, Revelation 15:3.

From the rising, &c.--all the world.