Abstract
For a function of a complex variable analytic in a strip the extremum of the norm of the th derivative is found under a constraint on the -norm of the function and the norm of its th derivative in the metric of the Hardy-Sobolev space. The closely connected problem of the optimal recovery of the th derivative of a function in the Hardy-Sobolev class from the inaccurately given trace of this function on the real axis is also studied. An optimal recovery method is found.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
