This article investigates two-dimensional integrals involving singularities and multiplicative compositions. The main focus is on deriving lower and upper bounds under various assumptions on the primary function, including monotonicity, convexity, and sub-multiplicativity. The results are presented with complete proofs and are intended to motivate further developments in the study of integral inequalities.
| Mualliflar | Chesneau, C. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 49-58 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-6 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-6 · Maqolaning asl sahifasi
Two-dimensional integrals, singular integrals, integral inequalities, mixed power-type singularities, bounds
| APA | Chesneau, C. (2026). Bounds for a class of two-dimensional integrals involving mixed power-type singularities. O‘zbekiston matematika jurnali, 70(2), 49-58. https://doi.org/10.29229/uzmj.2026-2-6 |
|---|---|
| GOST (OAK) | Chesneau, C. Bounds for a class of two-dimensional integrals involving mixed power-type singularities // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 49-58. – DOI: 10.29229/uzmj.2026-2-6. |
| MLA | Chesneau, C. “Bounds for a class of two-dimensional integrals involving mixed power-type singularities.” O‘zbekiston matematika jurnali, 70(2), 49-58, 2026. https://doi.org/10.29229/uzmj.2026-2-6 |
| Chicago | Chesneau, C. “Bounds for a class of two-dimensional integrals involving mixed power-type singularities.” O‘zbekiston matematika jurnali, 70(2), 49-58 (2026). https://doi.org/10.29229/uzmj.2026-2-6 |
| Harvard | Chesneau, C (2026) ‘Bounds for a class of two-dimensional integrals involving mixed power-type singularities’, O‘zbekiston matematika jurnali, 70(2), 49-58. https://doi.org/10.29229/uzmj.2026-2-6 |
| BibTeX | @article{chesneauc2026,
title = {Bounds for a class of two-dimensional integrals involving mixed power-type singularities},
author = {Chesneau, C.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {49-58},
doi = {10.29229/uzmj.2026-2-6},
url = {https://doi.org/10.29229/uzmj.2026-2-6}
} |
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