Copson-type Inequalities via the <i>k</i>-Hadamard Operator-Reference-Cited by-同舟云学术

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Copson-type Inequalities via the k-Hadamard Operator

Published:2024-01-01 Issue:1 Volume:60 Page:73-84
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Benaissa Bouharket¹,Azzouz Noureddine²

Affiliation:

1. 1 Laboratory of Informatics and Mathematics, Faculty of Material Sciences , University of Tiaret , Algeria

2. 2 Department of Mathematics , University Center Nour Bachir El Bayadh , Algeria

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/awutm-2024-0005

Reference16 articles.

1. B. Benaissa, On some Copson-type integral inequality, Korean. J. Math. 29 (3) (2021), 467-472.

2. E. T. Copson, Note on series of positive terms, J. Lond. Math. Soc. 3 (1928), 49-51.

3. E. T. Copson, Some Integral Inequalities, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 75 (2) (1976), 157-164.

4. A. A. El-Deeb, S. D. Makharesh, J. Awrejcewicz, R. P. Agarwal, Dynamic Hardy-Copson Type Inequalities via (g, a)-Nabla Conformable Derivatives on Time Scales, Symmetry 14 (9) (2022), 1847.

5. P. Gao, H. Zhao, On Copson’s inequalities for 0 < p < 1, J. Inequal. Appl. Volume 2020 (2020), 72.

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