Abstract
The arclength of the graphs Γ(S N (f)) of the partial sums S N (f) of the Fourier series of a piecewise C 1 function f with jump discontinuities is equal asymptotically to $(\hbox{the sum of all jumps of $f$})\times L_{N}$ , where L N is the Lebesgue constant. This is an improvement of R. Strichartz (J. Fourier Anal. Appl. 6, 533–536, 2000).
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.
