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Approximation Theory pp 320–328Cite as

Multipliers of strong convergence

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 556))

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Literature

  1. Butzer, P.L.-R.J. Nessel, Fourier Analysis and Approximation, Vol. I, Birkhäuser, Basel and Academic Press, New York 1971.

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  2. Butzer, P.L.-R.J. Nessel-W. Trebels, On summation processes of Fourier expansions in Banach spaces, II: Saturation theorems, Tôhoku Math. J. 24 (1972), 551–569.

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  3. Harsiladse, F.I., Multipliers of uniform convergence and uniform summability (Russ.), Trudy Tbilissk. mat. Inst. Razmadze 26 (1959), 121–130.

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  4. Karamata, J., Suite de fonctionelles linéaires et facteurs de convergence des séries de Fourier, J. Math. Pures Appl. (9) 35 (1956), 87–95.

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  5. Mertens, H.J.-R.J. Nessel, Über Multiplikatoren starker Konvergenz für Fourier-Entwicklungen in Banach-Räumen, Math. Nachr. (in print).

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  6. Mertens, H.J.-R.J. Nessel-G. Wilmes, Über Multiplikatoren zwischen verschiedenen Banach-Räumen im Zusammenhang mit diskreten Orthogonalentwicklungen, Forschungsberichte des Landes Nordrhein-Westfalen, 1976 (in print).

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  7. Nessel, R.J.-G. Wilmes, On Nikolskii-type inequalities for orthogonal expansions, Proc. Approx. Theory Symp., Austin Texas, Jan. 1976 (in print).

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  8. Teljakovskii, S.A., Quasiconvex uniform — convergence factors for Fourier series of functions with a given modulus of continuity, Math. Notes 8 (1970), 817–819 (1971) (transl. from Mat. Zametki 5 (1970),619–623).

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  9. Trebels, W., Multipliers for (C,α)-Bounded Fourier Expansions in Banach Spaces and Approximation Theory, Lecture Notes in Math. 329, Springer, Berlin 1973.

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Authors
  1. H. J. Mertens
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  2. R. J. Nessel
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  3. G. Wilmes
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Robert Schaback Karl Scherer

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© 1976 Springer-Verlag

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Mertens, H.J., Nessel, R.J., Wilmes, G. (1976). Multipliers of strong convergence. In: Schaback, R., Scherer, K. (eds) Approximation Theory. Lecture Notes in Mathematics, vol 556. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087415

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  • DOI: https://doi.org/10.1007/BFb0087415

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08001-5

  • Online ISBN: 978-3-540-37552-4

  • eBook Packages: Springer Book Archive

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