In this study, we establish some new weighted Iyengar type integral inequalities using Steffensen's inequality on time scales.
Some Pachpatte type inequalities on time scales
β Scribed by Wei Nian Li
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 491 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper, using the comparison theorem, we investigate some Pachpatte type integral inequalities on time scales, which provide explicit bounds on unknown functions. Our results extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues. Some applications of the main results are given in the end of this paper.
π SIMILAR VOLUMES
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.