A unified approach to inequalities for K-functionals and moduli of smoothness

0585956 - MÚ 2025 RIV DE eng J - Journal Article
Gogatishvili, Amiran - Opic, B. - Tikhonov, S. - Trebels, W.
A unified approach to inequalities for K-functionals and moduli of smoothness.
Mathematische Zeitschrift. Roč. 307, č. 2 (2024), č. článku 24. ISSN 0025-5874. E-ISSN 1432-1823
R&D Projects: GA ČR(CZ) GA23-04720S; GA ČR(CZ) GA18-00580S
Institutional support: RVO:67985840
Keywords : Holmstedt formulas * K-functionals * Lorentz-Karamata spaces
OECD category: Pure mathematics
Impact factor: 0.8, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s00209-024-03484-x

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.
Permanent Link: https://hdl.handle.net/11104/0353589