Abstract
In the present work we prove the equivalence of the fractional modulus of smoothness to the realization functional and to the Peetre K-functional in weighted Lorentz spaces. Using this equivalence we obtain an improvement of the direct approximation theorem. Furthermore we prove the improved converse theorem in this space.
Citation
Ramazan Akgün. Yunus Emre Yıldırır. "Improved direct and converse theorems in weighted Lorentz spaces." Bull. Belg. Math. Soc. Simon Stevin 23 (2) 247 - 262, may 2016. https://doi.org/10.36045/bbms/1464710117
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