I am constantly influenced, even without realizing it. My writing shows this. But instead of trying to cover it, I've built in my novel the conceit that people like Tolkien, Herbert, Lukyanenko, even musicians, actors and and others in history, are either a part of the "magical" world or in the Know.
For Instance, I mention that Tokiens Conceit that The Lord of the Rings and the Hobbit are actually translations of the Red Book of Westmarch is actually NOT a conceit
Herbert's wife was a powerful psychic, and most of his material on prescience and seeing the future is based on her beliefs and philosophies.
Lukyanenko wrote Night Watch as a tell-all book about the Russian Branch of an Agency that investigates the "Magical" world. Much like The Jungle was based on the Meat Packing industry.
I do mention JB, that he got the magic right for the most part. I also mention that JK Rowling is way off "She wrote so much about that world, do you honestly think any of us would let her live after that?"