Generalized local fractional integral inequalities via generalized (h1,h2)-preinvexity on fractal sets
In this paper, we establish several general local fractional integral inequalities via generalized [Formula: see text] preinvex mapping on fractal sets. By considering different parameter values, we develop particular applications of our result, such as midpoint-type inequality, generalized trapezoidal-type inequality, and generalized Simpson-type inequality. We present applications of the derived inequalities in numerical quadrature formulas, providing error estimates.
Authors
- Muhammad Muddassar (ORCID: https://orcid.org/0000-0001-7860-0522)
- Sa’ud Al-Sa’di (ORCID: https://orcid.org/0000-0003-3315-5407)
- Maria Bibi (ORCID: https://orcid.org/0009-0002-1382-4300)
- Hüseyin Budak (ORCID: https://orcid.org/0000-0001-8843-955X)
Institutions
- Hashemite University (JO)
- University of Engineering and Technology Taxila (PK)
- Kocaeli Üniversitesi (TR)
- Saveetha University (IN)
Publication Details
- Journal
- International Journal of Geometric Methods in Modern Physics
- Published
- 2025-01-09
- DOI
- https://doi.org/10.1142/s0219887825501002
- Primary Topic
- Mathematical Approximation and Integration
- Type
- article
- Field-Weighted Citation Impact
- 0.00