Quadratic interpolation and some operator inequalities

作者：Ming Fan · 发表于：Journal of Mathematical Inequalities · 年份：2011 · DOI：10.7153/jmi-05-36 · 被引用次数：7 · 研究领域：Mathematical functions and polynomials、Numerical methods in inverse problems、Differential Equations and Boundary Problems

We investigate some properties of Hilbert spaces and bounded linear operators under quadratic interpolation in both qualitative and quantitative ways. Interpolation type, reiteration, interpolation methods associated with quasi-power function parameters, nonlinear commutator estimates, and interpolation of certain operators and spectral properties are under consideration.