Abstract
Abstract For certain classes of functions of Λ-bounded variation on [ - π , π ] {[-\pi,\pi]} , Waterman and D’Antonio constructed a sequence of summability kernels such that the corresponding integral means converge for any function from the class, but not for any function from a broader Λ ′ BV {\Lambda^{\prime}\mathrm{BV}} class. In our paper, we extend this result to the case of functions of two variables.
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.
