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Acta Mathematica Vietnamica

, Volume 44, Issue 3, pp 701–710 | Cite as

A Bohr-Nikol’skii Inequality for Weighted Lebesgue Spaces

  • Ha Huy BangEmail author
  • Vu Nhat Huy
Article
  • 26 Downloads

Abstract

In this paper, we give a new inequality for weighted Lebesgue spaces called Bohr-Nikol’skii inequality, which combines the inequality of Bohr-Favard and the Nikol’skii idea of inequality for functions in different metrics.

Keywords

Lp- spaces Bohr-Favard inequality Nikol’skii inequality 

Mathematics Subject Classification (2010)

26D10 

Notes

Acknowledgements

The authors would like to thank the referees for their useful remarks and comments.

Funding Information

This work was supported by Vietnamese Academy of Science and Technology under grant number NVCC01.05/18-18.

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Copyright information

© Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Institute of MathematicsVietnamese Academy of Science and TechnologyHanoiVietnam
  2. 2.Department of Mathematics, College of ScienceVietnam National UniversityHanoiVietnam
  3. 3.Department of MathematicsThang Long Institute of Mathematics and Applied Sciences Nghiem Xuan YemHanoiVietnam

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