Multidimensional inequalities between distinct metrics in spaces with an asymmetric norm
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
Jackson-Nikol'skii inequalities in the spaces L{sub p{sub 1},p{sub 2}}(T{sup d}) and L{sub p{sub 1},p{sub 2}}(R{sup d}) endowed with asymmetric norms are studied for trigonometric polynomials and entire functions of exponential type, respectively. Examples of polynomials show that this estimate is sharp in order. A similar result is obtained for functions of exponential type.
- OSTI ID:
- 21202805
- Journal Information:
- Sbornik. Mathematics, Vol. 189, Issue 9; Other Information: DOI: 10.1070/SM1998v189n09ABEH000348; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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