This paper systematically establishes the fundamental geometrical and topological properties of the Minkowski operator on convex sets in an Euclidean space. The convexity, closedness, and boundary properties of the Minkowski sum and difference are analyzed. In addition, results concerning the Minkowski sum and difference of open and closed sets are presented. The paper also constructs illustrative examples to clarify each of the obtained results.
| Mualliflar | Zaitov, Adilbek, Nuritdinov, Jalolxon |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 208-217 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-24 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-24 · Maqolaning asl sahifasi
Convex sets, Minkowski difference, Minkowski sum, homothetic set, boundary of a set, compact set
| APA | Zaitov, Adilbek, & Nuritdinov, Jalolxon (2026). Geometric and topological properties of the Minkowski operator on convex sets. O‘zbekiston matematika jurnali, 70(2), 208-217. https://doi.org/10.29229/uzmj.2026-2-24 |
|---|---|
| GOST (OAK) | Zaitov, Adilbek, Nuritdinov, Jalolxon Geometric and topological properties of the Minkowski operator on convex sets // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 208-217. – DOI: 10.29229/uzmj.2026-2-24. |
| MLA | Zaitov, Adilbek, and Nuritdinov, Jalolxon. “Geometric and topological properties of the Minkowski operator on convex sets.” O‘zbekiston matematika jurnali, 70(2), 208-217, 2026. https://doi.org/10.29229/uzmj.2026-2-24 |
| Chicago | Zaitov, Adilbek, and Nuritdinov, Jalolxon. “Geometric and topological properties of the Minkowski operator on convex sets.” O‘zbekiston matematika jurnali, 70(2), 208-217 (2026). https://doi.org/10.29229/uzmj.2026-2-24 |
| Harvard | Zaitov, Adilbek, and Nuritdinov, Jalolxon (2026) ‘Geometric and topological properties of the Minkowski operator on convex sets’, O‘zbekiston matematika jurnali, 70(2), 208-217. https://doi.org/10.29229/uzmj.2026-2-24 |
| BibTeX | @article{zaitovadilbek2026,
title = {Geometric and topological properties of the Minkowski operator on convex sets},
author = {Zaitov, Adilbek and Nuritdinov, Jalolxon},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {208-217},
doi = {10.29229/uzmj.2026-2-24},
url = {https://doi.org/10.29229/uzmj.2026-2-24}
} |
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