<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we present a novel class of Copson-type inequalities involving the right-sided <italic>k</italic>-Hadamard fractional integral operator with all parameters of integrability <italic>p</italic> ≠ 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.</p>
</abstract>

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.

Copson-type Inequalities via the <italic>k</italic>-Hadamard Operator

Laboratory of Informatics and Mathematics, Faculty of Material Sciences

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Copson-type Inequalities via the -Hadamard Operator

{"article-title":{"italic":"k","content":["Copson-type Inequalities via the","-Hadamard Operator"]}}

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...

Copson-type Inequalities via the k-Hadamard Operator

Pubblicato online: 11 giu 2024

Pagine: 73 - 84

Ricevuto: 14 ago 2023

Accettato: 04 giu 2024

DOI: https://doi.org/10.2478/awutm-2024-0005

Parole chiave
Copson-type inequality, -Hadamard operator, Hölder inequality

© 2024 Bouharket Benaissa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Copson-type Inequalities via the k-Hadamard Operator

Pubblicato online: 11 giu 2024

Pagine: 73 - 84

Ricevuto: 14 ago 2023

Accettato: 04 giu 2024

DOI: https://doi.org/10.2478/awutm-2024-0005

Parole chiaveCopson-type inequality, -Hadamard operator, Hölder inequality

© 2024 Bouharket Benaissa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Parole chiave
Copson-type inequality, -Hadamard operator, Hölder inequality