Nikol’skii–Type Inequalities for Trigonometric Polynomials for Lorentz–Zygmund Spaces

Author

Doktorski, Leo R. Ya.

Source

Journal of Function Spaces

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-02-03

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

Nikol’skii–type inequalities, that is inequalities between different metrics of trigonometric polynomials on the torus Td for the Lorentz–Zygmund spaces, are obtained.

The results of previous paper “Nikol’skii inequalities for Lorentz–Zygmund spaces” are extended.

Applications to approximation spaces in Lorentz–Zygmund spaces and to Besov spaces are given.

American Psychological Association (APA)

Doktorski, Leo R. Ya.. 2020. Nikol’skii–Type Inequalities for Trigonometric Polynomials for Lorentz–Zygmund Spaces. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185721

Modern Language Association (MLA)

Doktorski, Leo R. Ya.. Nikol’skii–Type Inequalities for Trigonometric Polynomials for Lorentz–Zygmund Spaces. Journal of Function Spaces No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1185721

American Medical Association (AMA)

Doktorski, Leo R. Ya.. Nikol’skii–Type Inequalities for Trigonometric Polynomials for Lorentz–Zygmund Spaces. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185721

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1185721