O‘zbekiston matematika jurnali Volume 70 Issue 2 (2026) · pp. 49-58

Bounds for a class of two-dimensional integrals involving mixed power-type singularities

Chesneau, C.

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Abstract

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.

Two-dimensional integralssingular integralsintegral inequalitiesmixed power-type singularitiesbounds

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Cite

APA 7 
Chesneau, C. (2026). Bounds for a class of two-dimensional integrals involving mixed power-type singularities. O‘zbekiston matematika jurnali, 70(2), 49-58.
GOST R 7.0.5 
Chesneau, C. Bounds for a class of two-dimensional integrals involving mixed power-type singularities // O‘zbekiston matematika jurnali. 2026. Т. 70. № 2. С. 49-58.
BibTeX 
@article{c.2026,
  author  = {Chesneau, C.},
  title   = {Bounds for a class of two-dimensional integrals involving mixed power-type singularities},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {2},
  pages   = {49-58}
}
RIS 
TY  - JOUR
AU  - Chesneau, C.
TI  - Bounds for a class of two-dimensional integrals involving mixed power-type singularities
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 2
SP  - 49
EP  - 58
ER  -