The word "worship" comes from an Old English word, "weorthscipe" literally meaning "worth-ship" - that is, to give something or somebody worth.
The Greek word in the New Testament that is usually translated "worship" is "proskyneo" which means, literally translated, "to come towards to kiss (the hand of)." It is used some 59 times in the New Testament.
It is a sign of love, adoration, and respect towards the one being worshipped.
W.E. Vine, in his "Expository Dictionary of New Testament Words" says, "The worship of God is nowhere defined in Scripture. A consideration of the verbs shows it is not confined to praise. Broadly it may be regarded as the direct acknowledgement of God, of His nature, attributes, way and claims, whether by the outgoing of the heart in praise and thanksgiving or by deed done in such acknowledgement." For example, in Acts 17:24-25 the word used means "to do service to" or "to serve."