Shingo Takeuchi

collaborators

3 papers

math.GM2025

Remarks on Redheffer's inequality

Nagi Suzuki, Shingo Takeuchi

Redheffer's inequality and its extensions are applied to study the behavior and estimates of the first eigenvalue of $p$ -Laplacian with respect to $p$ . Furthermore, a Redheffer-typ…

math.CA2025

Properties of generalized Jacobi elliptic functions with three parameters

Hajime Sato, Nagi Suzuki, Shingo Takeuchi

Jacobi elliptic functions and complete elliptic integrals are generalized using three parameters. These generalized functions and integrals are closely related to ordinary differen…

math.AP2024

Estimates for the first eigenvalue of the one-dimensional $p$ -Laplacian

Ryuji Kajikiya, Shingo Takeuchi

In the present paper, we study the first eigenvalue $I^» (p)$ of the one-dimensional $p$ -Laplacian in the interval $(- 1, 1)$ . We give an upper and lower estimate of $I^» (p)$ and study…

Remarks on Redheffer's inequality

Properties of generalized Jacobi elliptic functions with three parameters

Estimates for the first eigenvalue of the one-dimensional p-Laplacian

Estimates for the first eigenvalue of the one-dimensional $p$ -Laplacian