A unified approach to inequalities for K-functionals and moduli of smoothness
Functional Analysis
2024-03-05 v2
Abstract
The paper provides a detailed study of crucial inequalities for smoothness and interpolation characteristics in rearrangement invariant Banach function spaces. We present a unified approach based on Holmstedt formulas to obtain these estimates. As examples, we derive new inequalities for moduli of smoothness and K-functionals in various Lorentz spaces.
Keywords
Cite
@article{arxiv.2307.05124,
title = {A unified approach to inequalities for K-functionals and moduli of smoothness},
author = {Amiran Gogatishvili and Bohumir Opic and Sergey Tikhonov and Walter Trebels},
journal= {arXiv preprint arXiv:2307.05124},
year = {2024}
}