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On weighted Ostrowski type, Trapezoid type, Gruss type and Ostrowski-Gruss like inequalities on time scales
- Publication Year :
- 2014
- Publisher :
- TAYLOR & FRANCIS LTD, 2014.
-
Abstract
- WOS: 000333943700007<br />In this paper, we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski-type, Trapezoid-type, Gruss-type and Ostrowski-Gruss-like inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.<br />Qing Lan Project of Jiangsu Province; National Natural Science Foundation of China [41174165]; Tianyuan Fund of Mathematics [11126289]; Teaching Research Project of NUIST [12JY052]<br />This work was sponsored by Qing Lan Project of Jiangsu Province, and was supported by the National Natural Science Foundation of China (Grant No. 41174165), the Tianyuan Fund of Mathematics (Grant No. 11126289) and the Teaching Research Project of NUIST (Grant No. 12JY052).
- Subjects :
- Mathematics::Functional Analysis
Pure mathematics
Trapezoid-type inequality
Inequality
Mathematics::General Mathematics
Generalization
Ostrowski-type inequality
Applied Mathematics
media_common.quotation_subject
time scales
Mathematics::Classical Analysis and ODEs
Ostrowski-Gruss-like inequality
Montgomery identity
Type (model theory)
Mathematics::Numerical Analysis
Gruss-type inequality
Identity (philosophy)
Analysis
media_common
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....237dc30a7409ddfc584a9858878ce90d