It is studied inequalities between three elementary symmetric polynomials being trinomial generalization of the well-known Muirhead's inequality. Some sufficient conditions have been derived. A sufficient and necessary condition is given in the case of two variables.
| Mualliflar | Azamov, Abdulla |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-1-3 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-1-3 · Maqolaning asl sahifasi
Muirhead’s inequality, symmetric polynomial, circle division polynomial, arithmetic function
| APA | Azamov, Abdulla (2026). On a trinomial analogue of Muirhead's inequaty. O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-3 |
|---|---|
| GOST (OAK) | Azamov, Abdulla On a trinomial analogue of Muirhead's inequaty // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 1. – DOI: 10.29229/uzmj.2026-1-3. |
| MLA | Azamov, Abdulla. “On a trinomial analogue of Muirhead's inequaty.” O‘zbekiston matematika jurnali, 70(1), 2026. https://doi.org/10.29229/uzmj.2026-1-3 |
| Chicago | Azamov, Abdulla. “On a trinomial analogue of Muirhead's inequaty.” O‘zbekiston matematika jurnali, 70(1) (2026). https://doi.org/10.29229/uzmj.2026-1-3 |
| Harvard | Azamov, Abdulla (2026) ‘On a trinomial analogue of Muirhead's inequaty’, O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-3 |
| BibTeX | @article{azamovabdulla2026,
title = {On a trinomial analogue of Muirhead's inequaty},
author = {Azamov, Abdulla},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {1},
doi = {10.29229/uzmj.2026-1-3},
url = {https://doi.org/10.29229/uzmj.2026-1-3}
} |
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