Diamond-α weighted Ostrowski type and Grüss type inequalities on time scales

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摘要

In this paper we obtain some weighted Ostrowski type and Grüss type inequalities on time scales by using the recent theory of combined dynamic derivatives on time scales. These results extend some known results in the literature and give some other interesting inequalities as special cases.

论文关键词:Ostrowski type inequalities,Grüss type inequalities,Diamond-α derivative,Time scales

论文评审过程:Received 14 March 2015, Accepted 29 June 2015, Available online 28 August 2015, Version of Record 28 August 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.06.132