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arxiv: 0804.4420 · v1 · submitted 2008-04-28 · 🧮 math.CA

The diamond-alpha Riemann integral and mean value theorems on time scales

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keywords diamond-alphascalestimemeantheoremsvaluecauchyfermat
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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.

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