When referring to the convexity of a function, which preposition should I use before the argument?

Question

I want to express an arbitrary function is concave with respect to something. I read many journals related to the wireless communication and signal processing fields from the google scholar cite. Nonetheless, I couldn't grasp which preposition to use.

1. The data rate is a concave function of power allocation.
2. The data rate is a concave function for power allocation.
3. The data rate is a concave function with respect to power allocation.
4. The data rate is concave for power allocation.
5. The data rate is concave with respect to power allocation.

I have usually seen that the prepositions, of, for, and with respect to are used. I've always passed by, but want to learn how to refer to clear mathematical terms in this opportunity.

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