Symmetry (Jul 2022)

On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales

  • Hassan M. El-Owaidy,
  • Ahmed A. El-Deeb,
  • Samer D. Makharesh,
  • Dumitru Baleanu,
  • Clemente Cesarano

DOI
https://doi.org/10.3390/sym14071395
Journal volume & issue
Vol. 14, no. 7
p. 1395

Abstract

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In this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using some algebraic inequalities, Hölder inequality, and Jensen’s inequality on time scales.

Keywords