Weighted Hermite-Hadamard-type inequalities without any symmetry condition on the weight function-Reference-Cited by-同舟云学术

Weighted Hermite-Hadamard-type inequalities without any symmetry condition on the weight function

Published:2024-01-01 Issue:1 Volume:22 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Jleli Mohamed¹,Samet Bessem¹

Affiliation:

1. Department of Mathematics, College of Science, King Saud University , P.O. Box 2455 , Riyadh, 11451 , Saudi Arabia

Abstract

Abstract We establish weighted Hermite-Hadamard-type inequalities for some classes of differentiable functions without assuming any symmetry property on the weight function. Next, we apply our obtained results to the approximation of some classes of weighted integrals.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0178/pdf

Reference22 articles.

1. C. Hermite, Sur deux limites daune intégrale défine, Mathesis 3 (1883), 1–82.

2. J. Hadamard, Etude sur les propriétés des fonctions entières et en particulier daune fonction considérée par Riemann, J. Math. Pures Appl. (9) 58 (1893), 171–215.

3. L. Fejér, Über die Fourierreihen, II, Math. Naturwiss, Anz. Ungar. Akad. Wiss. 24 (1906), 369–390.

4. S. S. Dragomir, Y. J. Cho, and S. S. Kim, Inequalities of Hadamard’s type for Lipschitzian mappings and their applications, J. Math. Anal. Appl. 245 (2000), no. 2, 489–501, DOI: https://doi.org/10.1006/jmaa.2000.6769.

5. K. S. K. Iyengar, Note on an inequality, Math. Student 6 (1938), no. 1, 75–76.

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