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On some dynamic inequalities of Steffensen type on time scales
Journal article   Peer reviewed

On some dynamic inequalities of Steffensen type on time scales

A. Abdeldaim, A. A. El-Deeb, Praveen Agarwal and H. A. El-Sennary
Mathematical methods in the applied sciences, Vol.41(12), pp.4737-4753
08/2018
DOI: https://doi.org/10.1002/mma.4927

Abstract

diamond‐αdynamic integral dynamic inequality Steffensen inequality time scale
In the present article, we investigate some new inequalities of Steffensen type on an arbitrary time scale using the diamond‐α dynamic integrals, which are defined as a linear combination of the delta and nabla integrals. The obtained inequalities extend some known dynamic inequalities on time scales and unify and extend some continuous inequalities and their discrete analogues.

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