Malinowska, Agnieszka B.; Torres, Delfim F. M. On the diamond-alpha Riemann integral and mean value theorems on time scales. (English) Zbl 1183.26041 Dyn. Syst. Appl. 18, No. 3-4, 469-481 (2009). Summary: 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. Cited in 18 Documents MSC: 26E70 Real analysis on time scales or measure chains 26A42 Integrals of Riemann, Stieltjes and Lebesgue type 39A12 Discrete version of topics in analysis Keywords:Darboux sums; improper integrals PDFBibTeX XMLCite \textit{A. B. Malinowska} and \textit{D. F. M. Torres}, Dyn. Syst. Appl. 18, No. 3--4, 469--481 (2009; Zbl 1183.26041) Full Text: arXiv