Cosmological Inflation in a Generalized Unimodular Gravity

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We study some aspects of cosmological inflation in the framework of unimodular f(R) gravity. To be more clarified, we consider a generic f(R) of the type f(R)=R+αRⁿ. By considering Einstein frame counterpart of the unimodular f(R) gravity, we set the scalaron to be responsible for cosmological inflation in this setup. We confront our model parameters space with observational data and impose some constraints on the value of n in this manner. We show that for the number of e-folds N=60, the model is consistent with observation if 1.89<n<1.918.