On interpolation operators (II) (A proof of Timan's theorem for differentiable functions)

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  • R.B. Saxena University Lucknow, India
  • K. B. Srivastava University Lucknow, India
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References

Gopengauz, I. E., On a theorem of A. F. Timan on the approximation of functions by polynomials on a finite interval. (Russian) Mat. Zametki 1 1967 163-172, MR0208232.

Jackson, D., theory of approximation. Amer. Math. Soc. Coll. Pub. vol. XI, New York, 1930.

Vertèsi,P., Kiš, O., On a new interpolation process. (Russian) Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 10 1967 117-128, MR0251427.

Saxena, R. B., Srivastava, K. B., On interpolation operators. I. A proof of Jackson's theorem for differentiable functions. Anal. Numér. Théor. Approx. 7 (1978), no. 2, 211-223, MR0530751.

Telyakovskii, S.A., Two theorems on the approximation of functions by algebraic polynomials. Math. Sbornik, 70, 2, 252-265 (Russian).

Timan, A. F., A strengthening of Jackson's theorem on the best approximation of continuous functions by polynomials on a finite segment of the real axis. (Russian) Doklady Akad. Nauk SSSR (N.S.) 78, (1951). 17-20, MR0041276.

Tureckiĭ, A. H., On certain extremal problems in the theory of interpolation. (Russian) 1965 Studies Contemporary Problems Constructive Theory of Functions (Proc. Second All-Union Conf., Baku, 1962) (Russian) pp. 220-232 Izdat. Akad. Nauk Azerbaĭdžan. SSR, Baku, MR0196373.

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Published

1979-08-01

How to Cite

Saxena, R., & Srivastava, K. B. (1979). On interpolation operators (II) (A proof of Timan’s theorem for differentiable functions). Anal. Numér. Théor. Approx., 8(2), 215–227. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1979-vol8-no2-art12

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Vol. 8 No. 2 (1979)

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Articles

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