New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

• Autorzy: Sun Wenbing , Wan Haiyang

Identyfikatory

DOI

10.1515/dema-2023-0128

• Języki publikacji: EN

Abstrakty

EN

In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized h-preinvex functions is obtained. Subsequently, an integral identity related to these two local fractional integral operators is constructed to obtain some new Ostrowski-type local fractional integral inequalities for generalized h-preinvex functions. Finally, we propose three examples to illustrate the partial results and applications. Meanwhile, we also propose two midpoint-type inequalities involving generalized moments of continuous random variables to show the application of the results.

Słowa kluczowe

EN

local fractional integral operators; Mittag-Leffler kernel; Hermite-Hadamard-type inequalities; Ostrowski-type inequalities; generalized h-preinvex function

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230128
• Opis fizyczny: Bibliogr. 45 poz., rys.

Twórcy

autor

Sun Wenbing

• School of Science, Shaoyang University, Shaoyang 422000, P. R. China

autor

Wan Haiyang

• Department of Mathematics and Theories, Peng Cheng Laboratory, Shenzhen, Guangdong 518000, P. R. China
• School of Science, Shaoyang University, Shaoyang 422000, P. R. China
• Future Tech, South China University of Technology, Guangzhou 510640, China

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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).