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By Agnieszka B. Malinowska and Delfim F. M. Torres


We study diamond-alpha integrals on time scales. A diamond-alpha version of Fermat’s theorem for stationary points is also proved, as well as Rolle’s, Lagrange’s, and Cauchy’s mean value theorems on time scales

Topics: time scales, diamond-alpha integral, Fermat’s theorem for stationary points, mean
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