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

Author:

Gogatishvili Amiran,Opic Bohumír,Tikhonov Sergey,Trebels Walter

Abstract

AbstractThe 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.

Funder

Institute of Mathematics of the Czech Academy of Sciences

Publisher

Springer Science and Business Media LLC

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