ON GENERAL LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED H-PREINVEX FUNCTIONS ON YANG’S FRACTAL SETS

Yong Zhang and Wenbing Sun
Additional contact information
Yong Zhang: School of Mathematics and Statistics, Jishou University, Jishou 416000, P. R. China
Wenbing Sun: ��School of Science, Shaoyang University, Shaoyang 422000, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 04, 1-13

Abstract: In this paper, based on Yang’s fractal theory, the Hermite–Hadamard’s inequalities for generalized h-preinvex function are proved. Then, using the local fractional integral identity proposed by Sun [Some local fractional integral inequalities for generalized preinvex functions and applications to numerical quadrature, Fractals 27(5) (2019) 1950071] as auxiliary function, some parameterized local fractional integral inequalities for generalized h-preinvex functions are established. For the special cases of the parameters, some generalized Simpson-type, midpoint-type and trapezoidal inequalities are established. Finally, some applications of these inequalities in numerical integration are proposed.

Keywords: Hermite–Hadamard’s Inequality; Simpson’s Inequality; Generalized h-Preinvex Function; Yang’s Fractal Sets; Local Fractional Integral (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X24400255
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:32:y:2024:i:04:n:s0218348x24400255

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X24400255

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().