Yes, the other ways to say it are technically correct, although the infinitive form is a bit off, but this is a case where the grammar isn’t really what’s important. Instead it’s an annoying case of “we just say it that way”! Another valid way if you do want to use infinitive, which I would probably say myself, is “tips on how to cope” instead of “on coping”.

To give tips ABOUT or ON "doing something.........are both fine here Your structure is admirably correct here using the GERUND. The infinitive doesn't work quite so well. To give you a general guideline, Mirko, look at these 2 sentences. 1. I like going swimming. 2. I like to go swimming at the weekends. We use the gerund in a more general sense, and the infinitive (with TO) in more specific cases. Another example: 3. i love playing basketball. 4. I love to play basketball when the weather isn't too hot. As i said its a guideline, its not one of those rigid rules that we love so much when learning languages. :P