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 corresp
On weighted Iyengar type inequalities on time scales
β Scribed by Mehmet Zeki Sarikaya
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 341 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
In this study, we establish some new weighted Iyengar type integral inequalities using Steffensen's inequality on time scales.
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.
## Abstract We give several bounds on the second smallest eigenvalue of the weighted Laplacian matrix of a finite graph and on the second largest eigenvalue of its weighted adjacency matrix. We establish relations between the given Cheegerβtype bounds here and the known bounds in the literature. We
A time scale version of Ostrowski's inequality is given as follows: Let f, g β C r d ([a, b], R) be two linearly independent functions, then for any Ξ± β [-1, 1] and any arbitrary
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