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Generalizations of the Riesz convergence theorem for Lorentz spaces

Acta Mathematica Hungarica volume 106, pages 331–341 (2005)Cite this article

Summary

We obtain preservation inequalities for Lipschitz constants of higher order in simultaneous approximation processes by Bernstein type operators. From such inequalities we derive the preservation of the corresponding Lipschitz spaces.

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Authors and Affiliations

  1. Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam

    H. H. Bang

  2. Hanoi University of Education, Department of Mathematics, Cau Giay, Hanoi, Vietnam

    N. M. Cong

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  1. H. H. Bang
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  2. N. M. Cong
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Bang, H., Cong, N. Generalizations of the Riesz convergence theorem for Lorentz spaces. Acta Math Hung 106, 331–341 (2005). https://doi.org/10.1007/s10474-005-0023-3

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  • DOI: https://doi.org/10.1007/s10474-005-0023-3

  • Lorentz spaces
  • Riesz convergence theorem