Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bergh, J., Löfström, J.: Interpolation spaces. An introduction. Grundlehren 223. Berlin-Heidelberg-New York: Springer 1976.
Brudnyǐ, Ju.A.: Approximation of functions of n variables by quasipolynomials, Izvest. Akad. Nauk SSSR, ser. mat., 564–583 (1970) (Russian).
Dechevski, L.T.: Network-norm error estimates of the numerical solution of evolutionary equations. Serdica 12, pp. 53–64 (1986).
Dechevski, L.T.: Precise error estimates for the numerical solution of differential equations I-IV (in preparation).
Dunford, N., Schwartz, J.T.: Linear operators V.1: general theory. New York, London: Interscience 1958.
Ivanov, K.G.: On the behaviour of two moduli of functions. Compt. Rend. Acad. Bulg. Sci. 38, 5, pp. 539–542 (1985).
Johnen, H., Scherer, K.: On the equivalence of the K-functional and moduli of continuity and some applications. In: Proceedings of a Conference on Constructive Theory of Function of Several Variables. Oberwolfach’76. Lecture Notes 571, pp. 119–140. Berlin-Heidelberg-New York: Springer 1977.
Kaljabin, G.A.: Theorems about extensions, multipliers and diffeomorphisms for generalized Sobolev-Liouville classes in Lipschitzgraph domains. Trudy Mat. Inst. Akad. Nauk SSSR, 172, 173–186 (1985) (Russian).
Peetre, J.: A theory of interpolation of normed spaces. Notas de Matematica 39, pp. 1–86 (1968).
Peetre, J.: Über den Durchschnitt von Interpolationsräumen. Arch. Math. (Basel) 25, 511–513 (1974).
Peetre, J.: On spaces of Triebel-Lizorkin type. Ark. Mat. 13, pp. 123–130 (1975).
Popov, V.A.: Average moduli and their function spaces. In: Proceedings of the International Conference on Constructive Function Theory, Varna’81. Sofia: Bulg. Acad. Sci. 1983.
Popov, V.A., Dechevski, L.T.: On the error of numerical solution of the parabolic equation in network forms. Compt. Rend. Acad. Bulg. Sci. 36, 4, pp. 429–432 (1983).
Sendov, Bl.: Modified Steklov function. Compt. Rend. Acad. Bulg. Sci. 36, 3, 315–317 (1983) (Russian).
Sendov, Bl., Popov, V.A.: Average moduli of smoothness. Bulgarian Mathematical Monographs, v.4. Sofia: Bulg. Acad. Sci. 1983. (Bulgarian).
Triebel, H.: Interpolation theory, function spaces, differential sperators. Math. Libr. 18. Amsterdam-New York-Oxford: North Holland 1978.
Triebel, H.: Theory of function spaces. Monographs in Math. 78. Basel-Boston-Stuttgart: Birkhäuser 1983.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Dechevski, L.T. (1988). τ-Moduli and interpolation. In: Cwikel, M., Peetre, J., Sagher, Y., Wallin, H. (eds) Function Spaces and Applications. Lecture Notes in Mathematics, vol 1302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078874
Download citation
DOI: https://doi.org/10.1007/BFb0078874
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18905-3
Online ISBN: 978-3-540-38841-8
eBook Packages: Springer Book Archive