biorthogonal systems 1boundary conditions 1eigenvalue problems 1minimality 1root functions 1sturm-liouville 1
From the 1 of 3 linked papers with an AI index.
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
The paper studies Sturm‑Liouville problems where the eigenparameter appears linearly in a boundary condition, deriving explicit formulas for the biorthogonal system and associated…
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…