proceeding

New weight characterizations for the discrete hardy inequality with kernel

К.Д. КулиевDepartment of Mathematics, Samarkand State University named after Sharof Rashidov, 140104, University blv. 15, Samarkand city, UzbekistanTohirbek TuraqulovDepartment of Mathematics, Samarkand State University named after Sharof Rashidov, 140104, University blv. 15, Samarkand city, UzbekistanGulchehra KulievaDepartment of Mathematics, Samarkand State University named after Sharof Rashidov, 140104, University blv. 15, Samarkand city, UzbekistanMohlaroyim EshimovaDepartment of Mathematics, Samarkand State University named after Sharof Rashidov, 140104, University blv. 15, Samarkand city, Uzbekistan

2026en

Ochiq kirish: yoʻq

ABI

Annotatsiya

In this paper, we provide a pair new equivalent conditions for the validity of discrete weighted Hardy-type inequality with Oinarov’s kernel. Furthermore, lower and upper bounds for the best constant of the inequality are obtained. The upper estimate is provided as a solution to a nonlinear algebraic equation, while the lower estimate is also novel in the theory of Hardy inequalities. The equation is solved for a variety of parameter choices, and it can be seen that the upper estimate improves the previous ones. These findings are crucial to establishing the spectral properties of discrete operators as well as the sufficient and necessary criteria for higher-order difference equations to be oscillation and non-oscillation.

Hali tarjima qilinmagan

Identifikatorlar

DOI: 10.1063/12.0044862

Iqtiboslar va manbalar

0 ta iqtibos6 ta foydalanilgan manba