A logarithmic asymptotics for the behavior with respect to of the exact constant in Bernstein's inequality for the Weyl derivative of positive noninteger order of trigonometric polynomials of order in the space is obtained. It turns out that the order in of the behavior of this constant for positive noninteger orders of the derivatives has exponential growth in contrast to the power growth in the well-studied case of classical derivatives of positive integer order.
|Translated title of the contribution||Bernstein's Inequality for the Weyl Derivatives of Trigonometric Polynomials in the Space Lo|
|Number of pages||10|
|Publication status||Published - 2018|
- 27.00.00 MATHEMATICS
Level of Research Output
- VAK List