Sign Variations-Upper bound



Hello! I have a question.Does anybody know which theorem(Kioustelidis,Cauchy,firtst ?) maxima uses to calculate the upper bound?We use the upper bound when we are trying to isolate the roots in order to have 1 root in an open space ]a,b[(sturm's theorem). I hope everybody understood my question.Sorry for my english..Thanks for your time!
 		 	   		  
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