Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

• Autorzy: Zafar Fiza , Mehmood Sikander , Asiri Asim

Identyfikatory

DOI

10.1515/dema-2022-0254

• Języki publikacji: EN

Abstrakty

EN

In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for k-fractional integrals involving r-times differentiable preinvex functions. It is noteworthy that in the past, there was no weighted version of the left and right sides of the Hermite-Hadamard inequality for k-fractional integrals for generalized convex functions available in the literature.

Słowa kluczowe

EN

Hermite-Hadamard-Fejér inequality; k-fractional integrals; Preinvex function; r-times differentiable function

PL

nierówność Hermite’a-Hadamarda-Fejéra; k-całka ułamkowa; funkcja różniczkowalna r-razy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220254
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Zafar Fiza

• Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan

autor

Mehmood Sikander

• Govt. Graduate College Sahiwal, Sahiwal, Pakistan

autor

Asiri Asim

• Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).