3 problems

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Conjecture on improving the non-variational eigenvalue approximation bound
Let $[?]$ denote the quantity measuring the approximation error in Theorem, and let $[?]$ be the bound appearing there. Improved approximation-rate conjecture. The bound…
Conjectureopeneigenvalue-approximation spectral-theoryarXiv posted 2 days ago
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Sine-transform discretisation conjecture for transformed Sturm–Liouville eigenproblems
Let the transformed/rescaled eigenvalue problem be the differential eigenvalue problem in, and let the sine-transform-based differentiation be the discretisation defined in. For a…
Conjectureopeneigenvalue-approximation spectral-methods sturm-liouville-problemsarXiv posted 2 days ago
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A numerical or typographical error in the fourth decimal place of Hwang and Neumann's eigenvalue table
The covariance kernel is … The estimators of its five largest eigenvalues are compared with the values reported by the authors of Hwang and Neumann for $3\leq n\leq 15$ ; for…
Conjectureopencovariance-operators eigenvalue-approximation numerical-analysisarXiv posted 2 days ago

Conjecture on improving the non-variational eigenvalue approximation bound