If you have inflation, you do not have a gold standard. If you have the gold standard, you do not have inflation. These are definitions, not arguments.
This is demonstrably false. Just look at a graph of dollar value from 1790-1913 and try to reconcile what you just said with the extreme spikes between inflation and deflation that occurred on extremely short intervals.
Do you know what fractional reserve banking is? If you do, what the hell does the time span between 1790-1913 have to do with the lack of fractional reserve banking?