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Title: The diamond integral on time scales
Author: Brito da Cruz, A. M. C.
Martins, N.
Torres, D. F. M.
Keywords: Diamond integral
Integral inequalities
Time scales
Issue Date: 2015
Publisher: Springer
Abstract: We define a more general type of integral on time scales. The new diamond integral is a refined version of the diamond-alpha integral introduced in 2006 by Sheng et al. A mean value theorem for the diamond integral is proved, as well as versions of Holder’s, Cauchy–Schwarz’s, and Minkowski’s inequalities.
Peer review: yes
DOI: 10.1007/s40840-014-0096-7
ISSN: 0126-6705
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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