'Honouring' in the Bible

If you will not take care to do all the words of this law, recorded in this book, honouring that name of glory and of fear, THE LORD YOUR GOD;

For when I have taken them into the land named in my oath to their fathers, a land flowing with milk and honey, and they have made themselves full of food and are fat, then they will be turned to other gods and will give them worship, no longer honouring me or keeping my agreement.