On interpolation operators (I) (A proof of Jakson's theorem for differentiable functions)

Authors

  • R. B. Saxena Lucknow University, India
  • K. B. Srivastava Lucknow University, 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 segment. Mat. Zametki No. 2 (1967), 163-172 (Russian).

Jackson, D., The theory of approximation. Vol. XI, Amer. Math. Soc. Colloquium Publ, New York, 1930.

Kis, O., & Vertesi, P., On a new interpolation process. Annals Univ. Sci. Budapest X(1967), 117-128 (Russian).

Telyakovskii, S.A., Two theorems on the approximation of funcitons b y algebraic polynomials. Math. Sbornik 70, No. 2, 252-265 (Russian).

Timan, A.F., A strengtherning of Jackson’s theorem on the best approximation of continuous functions by polynomials on a finite segment of the real axis. Dokl. Akad. Nauk SSSR, 78 (1951), 17-20 (Russian); MR 12, 823.

Trigub, R.M., Approximation of functions by polynomials with integral coefficients. Izv. Nauk Mat. SSSR, 26, 261-280 (1962).

Tureckii, A. H., On certain extremal problems in the theory of interpolation, A collection of modern problems in constructive theory of functions, Baku Pub., AHACCP (1965), 220-232 (Russian).

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Published

1978-08-01

How to Cite

Saxena, R. B., & Srivastava, K. B. (1978). On interpolation operators (I) (A proof of Jakson’s theorem for differentiable functions). Anal. Numér. Théor. Approx., 7(2), 211–223. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1978-vol7-no2-art10

Issue

Vol. 7 No. 2 (1978)

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Articles

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