Weighted Simpson-like type inequalities for quasi-convex functions

• Autorzy: Ayed Hamida , Meftah Badreddine

Identyfikatory

DOI

10.1515/jaa-2022-1000

• Języki publikacji: EN

Abstrakty

EN

In this paper, by considering the identity established by Luo et al. in [C. Luo, T.-S. Du, M. Kunt and Y. Zhang, Certain new bounds considering the weighted Simpson-like type inequality and applications, J. Inequal. Appl. 2018 (2018), Paper No. 332] and under the assumption of the quasi-convexity of the first derivative, we establish some new error estimates of the Simpson-like type inequalities. We also discuss the case where the first derivative satisfies the Hölder condition. At the end, we provide some applications to special means. The obtained results represent a continuation of the above-mentioned paper.

Słowa kluczowe

EN

Simpson inequality; Hölder inequality; quasi-convex functions

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 2
• Strony: 313--322
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Ayed Hamida

• Laboratoire des Surfaces et Interfaces des Couches Minces (LECIMS), Université Badji Mokhtar-Annaba, Annaba, 23000 Algeria

autor

Meftah Badreddine

• Laboratoire des Surfaces et Interfaces des Couches Minces (LECIMS), Université Badji Mokhtar-Annaba, Annaba, 23000 Algeria

• https://orcid.org/0000-0002-0156-7864

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).