3 papers
math.CA2026
Optimal bounds for the ratio of differences of quadratic, arithmetic, and harmonic means
Zamina E. Guliyeva, Narmin N. Aliyeva, Yagub N. Aliyev
We determine the optimal constants in inequalities comparing the differences of the quadratic, arithmetic, and harmonic means of nonnegative real numbers. Specifically, we prov…
math.CA2026
Minimality of the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameter
Yagub N. Aliyev, Narmin N. Aliyeva
We consider a Sturm--Liouville problem in which the spectral parameter appears linearly in one of the boundary conditions. The study focuses on the root functions of the problem, i…
math.CA2026
Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameter
Yagub N. Aliyev, Narmin N. Aliyeva
This paper studies a Sturm--Liouville boundary value problem in which one of the boundary conditions depends linearly on the spectral parameter. The differential equation is consid…