Integration on time scales
β Scribed by Gusein Sh. Guseinov
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 185 KB
- Volume
- 285
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In this paper we study the process of Riemann and Lebesgue integration on time scales. The relationship of the Riemann and Lebesgue integrals is considered and a criterion for Riemann integrability is established.
π SIMILAR VOLUMES
We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations. Necessary and sufficient conditions for a local extremum are established, among
An Ostrowski type inequality for a double integral is derived via a ββ-integral on time scales; this generalizes an Ostrowski type inequality and some related results from Liu et al. ( 2010) [1]. Some new applications are also given.