English

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

Classical Analysis and ODEs 2009-08-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0804.4420,
  title  = {The diamond-alpha Riemann integral and mean value theorems on time scales},
  author = {Agnieszka B. Malinowska and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:0804.4420},
  year   = {2009}
}

Comments

14 pages

R2 v1 2026-06-21T10:35:13.813Z