Ostrowski’s Type Inequalities for Generalized (h,m)−Preinvex Functions with Its Applications

LI Ran, LIAN Tie-yan

doi:10.13371/j.cnki.chin.q.j.m.2024.03.005

Chinese Quarterly Journal of Mathematics >

2024 , Vol. 39 >Issue 3: 270 - 287

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2024.03.005

Ostrowski’s Type Inequalities for Generalized (h,m)−Preinvex Functions with Its Applications

Expand

School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi’an 710021, China

LI Ran (1997-), female, native of Kaifeng, Henan, graduate student of Shaanxi University of Science & Technology, engages in fuzzy integral and its applications; LIAN Tie-yan (1978-), female, native of Weinan, Shaanxi, associate professor of Shaanxi University of Science & Technology, M.S.D., engages in fuzzy integral and its applications.

Received date: 2023-03-06

Online published: 2024-09-30

Supported by

Supported by the National Natural Science Foundation of China (Grant No. 11801342) and the Natural Science Foundation of Shaanxi Province (Grant No. 2023-JC-YB-043).

Fold

Abstract

A new concept generalized (h,m)−preinvex function on Yang’s fractal sets is proposed. Some Ostrowski’s type inequalities with two parameters for generalized (h,m)−preinvex function are established, where three local fractional inequalities involving generalized midpoint type, trapezoid type and Simpson type are derived as consequences. Furthermore, as some applications, special means inequalities and numerical quadratures for local fractional integrals are discussed.

Key words： Generalized (h,m)?preinvex function; Hermite?Hadamard inequality; Ostrowski inequality; Simpson inequality

Cite this article

LI Ran, LIAN Tie-yan . Ostrowski’s Type Inequalities for Generalized (h,m)−Preinvex Functions with Its Applications[J]. Chinese Quarterly Journal of Mathematics, 2024 , 39(3) : 270 -287 . DOI: 10.13371/j.cnki.chin.q.j.m.2024.03.005

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article