On weighted Ostrowski type, Trapezoid type, Gruss type and Ostrowski-Gruss like inequalities on time scales

Authors :: Adnan Tuna
Yong Jiang
Wenjun Liu
0-Belirlenecek
[Liu, Wenjun -- Jiang, Yong] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China -- [Tuna, Adnan] Nigde Univ, Dept Math, Fac Sci & Arts, TR-51240 Merkez, Nigde, Turkey
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).

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