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On determination of jumps in terms of the Abel-Poisson mean of Fourier series. II |
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| Authors: | Dansheng Yu Ping Zhou Songping Zhou |
| Institution: | 1. Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 310036, China 2. Department of Mathematics, Statistics and Computer Science, St. Francis Xaiver University, Antigonish, Nova Scotia, Canada, B2G 2W5 3. Institute of Mathematics, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, 310018, China |
| Abstract: | In this paper, we generalize two important results of Bagota and Móricz 1], and generalize our earlier results in 6] from one-variable to two-variable case. As special applications, we prove that the generalized jump of f(x, y) at some point (x 0, y 0) can be determined by the higher order mixed partial derivatives of the Abel-Poisson mean of double Fourier series and the higher order mixed partial derivatives of the Abel-Poisson means of the three conjugate double Fourier series. |
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