2016/09/06 by Ушанги Гогинава, Goginava, Ushangi, K. Nagy +1
Mathematics · #42C10 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #FOS: Mathematics #Mathematical Approximation and Integration
paper · pdf · doi:10.48550/arxiv.1609.01645
openalex publication_date 2016/09/06 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
In this paper we study the exponential uniform strong approximation of\nMarcinkiewicz type of two-dimensional Walsh-Kaczmarz-Fourier series. In\nparticular, it is proved that the Marcinkiewicz type of two-dimensional\nWalsh-Kaczmarz-Fourier series of the continuous function f is uniformly\nstrong summable to the function f exponentially in the power 1/2. Moreover,\nit is proved that this result is best possible.\n