Annals of the West University of Timisoara: Mathematics and Computer Science (Jan 2024)

Copson-type Inequalities via the k-Hadamard Operator

  • Benaissa Bouharket,
  • Azzouz Noureddine

DOI
https://doi.org/10.2478/awutm-2024-0005
Journal volume & issue
Vol. 60, no. 1
pp. 73 – 84

Abstract

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In this paper, we present a novel class of Copson-type inequalities involving the right-sided k-Hadamard fractional integral operator with all parameters of integrability p ≠ 0 and obtain some classical special cases of Copson inequalities. The main results will be proved by employing the Hölder inequality and the Fubini theorem.

Keywords