Copson-type Inequalities via the k-Hadamard Operator

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

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Bibliographic Details
Published in:Analele Universității din Timișoara. Seria Matematică-informatică 2024-01, Vol.60 (1), p.73-84
Main Authors: Benaissa, Bouharket, Azzouz, Noureddine
Format: Article
Language:English
Subjects:
26A33
26D10
26D15
Copson-type inequality
Hadamard operator
Hölder inequality
k-hadamard operator
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Summary:In this paper, we present a novel class of Copson-type inequalities involving the right-sided -Hadamard fractional integral operator with all parameters of integrability ≠ 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.
ISSN:1841-3307
1841-3307
DOI:10.2478/awutm-2024-0005