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On One-Sided Approximation of Functions with Regard for the Location of a Point on an Interval

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Abstract

We investigate a pointwise approximation of functions of the class H ω (ω(t) is a modulus of continuity convex upward) by absolutely continuous functions with variable smoothness.

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REFERENCES

  1. N. P. Korneichuk, “On the best uniform approximation on certain classes of continuous functions,” Dokl. Akad. Nauk SSSR, 140, 748–751 (1961).

    Google Scholar 

  2. N. P. Korneichuk, “On the best approximation of continuous functions,” Izv. Akad. Nauk SSSR, Ser. Mat., 27, 29–44 (1963).

    Google Scholar 

  3. N. P. Korneichuk and A. I. Polovina, “On approximation of continuous and differentiable functions by algebraic polynomials on an interval,” Dokl. Akad. Nauk SSSR, 166, No. 2, 281–283 (1966).

    Google Scholar 

  4. N. P. Korneichuk and A. I. Polovina, “On approximation of functions satisfying the Lipschitz condition by algebraic polynomials,” Mat. Zametki, 9, No. 4, 441–447 (1971).

    Google Scholar 

  5. N. P. Korneichuk and A. I. Polovina, “On approximation of continuous functions by algebraic polynomials,” Ukr. Mat. Zh., 24, No. 3, 328–340 (1972).

    Google Scholar 

  6. A. A. Ligun, “On the best approximation of differentiable functions by algebraic polynomials,” Izv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 4, 53–60 (1980).

  7. A. V. Pokrovskii, “On one theorem of A. F. Timan,” Funkts. Anal. Prilozhen., 1, No. 3, 93–94 (1967).

    Google Scholar 

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Motornyi, V.P. On One-Sided Approximation of Functions with Regard for the Location of a Point on an Interval. Ukrainian Mathematical Journal 54, 819–824 (2002). https://doi.org/10.1023/A:1021639631487

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  • DOI: https://doi.org/10.1023/A:1021639631487

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