Semi-Rings, Semi-Vector Spaces, and Fractal Interpolation
Functional Analysis
2025-09-30 v1
Abstract
In this paper, we introduce fractal interpolation on complete semi-vector spaces. This approach is motivated by the requirements of preservation of positivity or monotonicity of functions for some models in approximation and interpolation theory. The setting in complete semi-vector spaces does not requite additional assumptions but is intrinsically built into the frame work. For the purposes of this paper, fractal interpolation in the complete semi-vector spaces and is considered.
Keywords
Cite
@article{arxiv.2509.24512,
title = {Semi-Rings, Semi-Vector Spaces, and Fractal Interpolation},
author = {Peter R. Massopust},
journal= {arXiv preprint arXiv:2509.24512},
year = {2025}
}