On interpolation operators - III (A proof of Telyakovskii-Gopengauz's theorem for differentiable functions)

Authors

  • K. B. Srivastava Department of Mathematics & Astronomy, Lucknow, India
  • R.B. Saxena Lucknow, India
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References

Gopengauz, I. E., A question concerning the approximation of functions on a segment and in a region with corners. (Russian) Teor. Funkciĭ Funkcional. Anal. i Priložen. Vyp. 4 1967 204-210, MR0223790.

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.

Saxena, R. B., Srivastava, K. B., On interpolation operators. II. A proof of Timan's theorem for differentiable functions. Anal. Numér. Théor. Approx. 8 (1979), no. 2, 215-227, MR0573982.

Srivastava, K.B., A proof of Telyakovskii-Gopengauz theorem through interpolation, Serdica, Bulg. Math. Publ. Vol. 5 (1979), p. 272-279.

Telyakovskii, S.A.: Two theorems on the approximation of functions by algebraic polynomials Math. Sbornic 70, No.2 (1970), 252-265.

Trigub, R. M., Approximation of functions by polynomials with integer coefficients. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 26 1962 261-280, MR0136912.

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Published

1981-08-01

How to Cite

Srivastava, K. B., & Saxena, R. (1981). On interpolation operators - III (A proof of Telyakovskii-Gopengauz’s theorem for differentiable functions). Anal. Numér. Théor. Approx., 10(2), 247–262. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1981-vol10-no2-art15

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Vol. 10 No. 2 (1981)

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