Approximation characteristics of the isotropic Nikol’skii-Besov functional classes
Carpathian Mathematical Publications, ISSN: 2313-0210, Vol: 13, Issue: 3, Page: 851-861
2021
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Article Description
In the paper, we investigates the isotropic Nikol’skii-Besov classes B(R) of non-periodic functions of several variables, which for d = 1 are identical to the classes of functions with a dominating mixed smoothness Sp,θB(R). We establish the exact-order estimates for the approximation of functions from these classes B(R) in the metric of the Lebesgue space L (R), by entire functions of exponential type with some restrictions for their spectrum in the case (Formula presented). In the case 2 < p = q < ∞, d = 1, the established estimate is also new for the classes SB(R).
Bibliographic Details
Vasyl Stefanyk Precarpathian National University
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