An Ostrowski type inequality for a double integral is derived via a ∆∆-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.
Ostrowski’s inequality on time scales
✍ Scribed by Cheh-Chih Yeh
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 164 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
A time scale version of Ostrowski's inequality is given as follows: Let f, g ∈ C r d ([a, b], R) be two linearly independent functions, then for any α ∈ [-1, 1] and any arbitrary
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