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

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

2008-04-28

arxiv.org/abs/0804.4420v1

Dynamic Systems and Applications 18 (2009) 469--482

Mathematics

Classical Analysis and ODEs

14 pages

Scientific paper

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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