On multivariate projection operators

Journal of Approximation Theory - Tập 159 Số 1 - Trang 154-164 - 2009
L. Szili1, P. Vértesi2
1Department of Numerical Analysis, Loránd Eötvös University, Budapest, Pázmány P. sétány 1/C, H-1117, Hungary
2Rényi Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Reáltanoda u. 13–15, H–1053, Hungary

Tóm tắt

Từ khóa


Tài liệu tham khảo

Zygmund, 1959, vols. I and II

Stein, 1971

Herriot, 1944, Nörlund summability of multiple Fourier series, Duke Math. J., 11, 735, 10.1215/S0012-7094-44-01163-4

Berens, 1996, Fejér means for multivariate Fourier series, Mat. Z., 221, 449, 10.1007/PL00004254

Xu, 1995, Christoffel functions and Fourier series for multivariate orthogonal polynomials, J. Approx. Theory, 82, 205, 10.1006/jath.1995.1075

G. Halász, personal communications

DeVore, 1993

Bos, 2006, On Lebesgue constant of Xu interpolation formula, J. Approx. Theory, 141, 134, 10.1016/j.jat.2006.01.005

B. Della Vecchia, G. Mastroianni, P. Vértesi, Exact order of the Lebesgue constants for bivariate Lagrange interpolation at certain node-systems, Studia Sci. Math. Hungar. (in press)

Xu, 1996, Lagrange interpolation on Chebyshev points of two variables, J. Approx. Theory, 87, 220, 10.1006/jath.1996.0102

Li, 2000, Summability of product Jacobi expansions, J. Approx. Theory, 104, 287, 10.1006/jath.2000.3455

Dunford, 1988

Yosida, 1965

Natanson, 1964, vol. 1–3

Fejér, 1911, Sur les singularités de la série de Fourier des fonctions continues. (French), Ann. Sci. École Norm. Sup., 28, 63, 10.24033/asens.634

Fejér, 1913, A függvény szakadásának meghatározása Fourier-féle sorából (Hungarian), Mat. és Term Értesítő, 31, 385