DOI: 10.1142/s0218348x23500925 ISSN:
THE WEIGHTED PARAMETERIZED INEQUALITIES IN RELATION TO TWICE DIFFERENTIABLE MAPPINGS IN THE FRACTAL DOMAINS ALONG WITH SOME APPLICATIONS
YUNXIU ZHOU, JIAGEN LIAO, TINGSONG DU- Applied Mathematics
- Geometry and Topology
- Modeling and Simulation
In this paper, two weighted parameterized fractal identities are first proposed, wherein the mappings involved are second-order local fractional differentiable. Based upon these equalities, a series of the weighted parameterized inequalities, which are related to the fractal convex mappings, are then deduced. Moreover, making use of boundedness and [Formula: see text]-Lipschitzian mappings, some error estimates are attained as well. Finally, certain fractal outcomes in accordance to random variable and the weighted formula, respectively, are presented as applications.