AIMS Mathematics (Apr 2022)

A variety of dynamic α-conformable Steffensen-type inequality on a time scale measure space

  • Ahmed A. El-Deeb,
  • Osama Moaaz,
  • Dumitru Baleanu ,
  • Sameh S. Askar

DOI
https://doi.org/10.3934/math.2022635
Journal volume & issue
Vol. 7, no. 6
pp. 11382 – 11398

Abstract

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The main objective of this work is to establish several new alpha-conformable of Steffensen-type inequalities on time scales. Our results will be proved by using time scales calculus technique. We get several well-known inequalities due to Steffensen, if we take α=1. Some cases we get continuous inequalities when T=R and discrete inequalities when T=Z.

Keywords