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Direct linkCakmak, Devrim – International Journal of Mathematical Education in Science and Technology, 2010
In this note, by using elementary calculus on time scales, we recall the direct proof of the equivalence between Rolle's and generalized (Cauchy's) mean value theorems on time scales.
Descriptors: Calculus, Mathematical Logic, Validity, Mathematics Education
Tiryaki, Aydin; Cakmak, Devrim – International Journal of Mathematical Education in Science and Technology, 2010
In this article, by using Rolle's theorem, we establish some results related to the mean value theorem for integrals. Our results are different from the set of integral mean value theorems which are given by Wayment ["An integral mean value theorem", Math. Gazette 54 (1970), pp. 300-301] and Sahoo ["Some results related to the integral mean value…
Descriptors: Mathematical Logic, Validity, Mathematical Applications, Mathematical Models
