Bernstein type inequalities for a class of polynomials

T. Erdèlyi; J. Szabados

doi:10.1007/bf02170073

journal article Mar 01, 1989

Bernstein type inequalities for a class of polynomials

T. Erdèlyi J. Szabados

Acta Mathematica Hungarica Vol. 53 No. 1-2 pp. 237-251 · Springer Science and Business Media LLC

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References

8

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T. Erdélyi — J. Szabados, On trigonometric polynomials with positive coefficients,Studia Sci. Math. Hungar. 23 (1987).

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V. S. Videnskiî, Extremal estimates for the derivative of a trigonometric polynomial on an interval shorter than the period,DAN USSR,130 (1960), 13–16 (in Russian).

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J. Szabados, Bernstein and Markov type estimates for the derivative of a polynomial with real zeros, inFunctional Analysis and Approximation, Birkhäuser Verlag (Basel, 1981), pp. 177–188. 10.1007/978-3-0348-9369-5_18

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T. Erdélyi, Markov type estimates for derivatives of polynomials of special type,Acta Math. Hung.,51 (1988), 421–436. 10.1007/bf01903349

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T. Erdélyi, Pointwise estimates for derivatives of polynomials with restricted zeros,Proceedings of the Alfred Haar Memorial Conference held in Budapest, 1985; Vol. 49; North Holland (Amsterdam-Budapest, 1987), pp. 329–343.

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T. Erdélyi-J. Szabados, On polynomials with positive coefficients,Journal of Approximation Theory,54, (1988), 107–122. 10.1016/0021-9045(88)90119-0

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G. G. Lorentz, Degree of approximation by polynomials with positive coefficients,Math. Ann.,151 (1963), 239–251. 10.1007/bf01398235

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T. Erdélyi, Pointwise estimates for the derivatives of a polynomial with real zeros,Acta Math. Hung.,49 (1987), 219–235. 10.1007/bf01956326

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Published: Mar 01, 1989
Vol/Issue: 53(1-2)
Pages: 237-251
License: View

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Cite This Article

T. Erdèlyi, J. Szabados (1989). Bernstein type inequalities for a class of polynomials. Acta Mathematica Hungarica, 53(1-2), 237-251. https://doi.org/10.1007/bf02170073

Bernstein type inequalities for a class of polynomials

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