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arXiv · 1306.0988

The Diamond Integral on Time Scales

Artur M. C. Brito da Cruz·Natalia Martins·Delfim F. M. Torres
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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.

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Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres. 2013-06-05. The Diamond Integral on Time Scales. https://doi.org/10.1007/s40840-014-0096-7

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