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Turkish Journal of Mathematics

Abstract

An extension in Montgomery identity with the help of Taylor?s formula on time scales is provided in the paper, which is used to establish Ostrowski type inequality, midpoint inequality and trapezoid type inequality on time scales in generalized forms. The weighted version of obtained Montgomery identity and respective Ostrowski inequality are also addressed at the end of the paper.

DOI

10.3906/mat-1906-11

Keywords

Mathematical inequalities, time scales calculus

First Page

1708

Last Page

1723

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