ON THE DIAMOND-ALPHA RIEMANN INTEGRAL AND MEAN VALUE THEOREMS ON TIME SCALES

TitleON THE DIAMOND-ALPHA RIEMANN INTEGRAL AND MEAN VALUE THEOREMS ON TIME SCALES
Publication TypeJournal Article
Year of Publication2009
AuthorsMALINOWSKA AGNIESZKAB, TORRES DELFIM
JournalDynamic Systems and Applications
Volume18
Start Page469
Pagination13
Date Published2009
ISSN1056-2176
AMS Subject Classification26A42; 39A12
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.
PDFhttps://acadsol.eu/dsa/articles/18/33-DSA-173.pdf
Refereed DesignationRefereed