On the diamond-alpha riemann integral and mean value theorems on time scales

By Agnieszka B. Malinowska, Delfim F. M. Torres. 2008

49 citations recorded by the source corpus.

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. Mathematics Subject Classification 2000: 26A42; 39A12.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/dda25ae0103eecf8f06c6b4a7ca6ec583a240195