Mathematics (Nov 2021)

Novel Fractional Dynamic Hardy–Hilbert-Type Inequalities on Time Scales with Applications

  • Ahmed A. El-Deeb,
  • Jan Awrejcewicz

DOI
https://doi.org/10.3390/math9222964
Journal volume & issue
Vol. 9, no. 22
p. 2964

Abstract

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The main objective of the present article is to prove some new ∇ dynamic inequalities of Hardy–Hilbert type on time scales. We present and prove very important generalized results with the help of Fenchel–Legendre transform, submultiplicative functions. We prove the (γ,a)-nabla conformable Hölder’s and Jensen’s inequality on time scales. We prove several inequalities due to Hardy–Hilbert inequalities on time scales. Furthermore, we introduce the continuous inequalities and discrete inequalities as special case.

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