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A logarithmic asymptotics for the behavior with respect to n of the exact constant in Bernstein’s inequality for the Weyl derivative of positive noninteger order of trigonometric polynomials of order… Click to show full abstract
A logarithmic asymptotics for the behavior with respect to n of the exact constant in Bernstein’s inequality for the Weyl derivative of positive noninteger order of trigonometric polynomials of order n in the space L0 is obtained. It turns out that the order in n 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.
Keywords:
order;
space;
trigonometric polynomials;
inequality weyl;
bernstein inequality
Journal Title: Mathematical Notes
Year Published: 2018
Link to full text (if available)
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Journal Title: Mathematical Notes
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!