Can I claim supplemental property taxes?

I purchased my home in January 2015 in CA. On December 10, 2015, I received two separate supplemental property tax bills in the mail. One was for 2014-2015 and the other for 2015-2016. All payments were due in 2016 and paid in 2016. Can I claim supplemental property taxes and if so, am I able to claim all or some of the payments made in 2016 even though the supplemental property tax bills are for 2014-2015 & 2015-2016?