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Copson-type Inequalities via the k-Hadamard Operator

Bouharket Benaissa

Bouharket Benaissa

Laboratory of Informatics and Mathematics, Faculty of Material Sciences, University of TiaretAlgeria
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Benaissa, Bouharket
 and 
Noureddine Azzouz

Noureddine Azzouz

Department of Mathematics, University Center Nour Bachir El BayadhAlgeria
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Azzouz, Noureddine
  
Jun 11, 2024
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Published Online: Jun 11, 2024
Page range: 73 - 84
Received: Aug 14, 2023
Accepted: Jun 04, 2024
DOI: https://doi.org/10.2478/awutm-2024-0005
Keywords
© 2024 Bouharket Benaissa et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
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