On restrictive uniform approximation

Authors

  • G. Cimoca Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania

DOI:

https://doi.org/10.33993/jnaat11-2
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MR0380202 (52 #1102)
Zbl 0357.41009

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References

Breckner, W.W., Kolumban, I., Über die Charakterisierung von Minimallösungen in linearen normierten Räumen, Mathematica Cluj 10(33), 33-46 (1968), (German) Zbl 0189.12502.

Cheney, E.W., Introduction to approximation theory. International Series in Pure and Applied Mathematics. New York etc.: McGraw-Hill Book Company. XII, 259 p. (1966)., Zbl 0161.25202.

Cimoca, Gh., On uniform approximation by functions having restricted ranges, Mathematica Cluj 12(35), 237-251 (1970), Zbl 0223.41013.

Cimoca, Gh., On a problem of restrictive uniform approximation. Mathematica Cluj, 13(36), 189-197 (1971), Zbl 0254.41012.

Laurent, P.J., Approximation uniforme de fonctions continues sur un compact avec contraintes de inégalité. Rev. Franç. Inform. Rech. Opér. 1, No.5, 81-95 (1967), (French) Zbl 0156.07001, https://doi.org/10.1051/m2an/1967010500811 DOI: https://doi.org/10.1051/m2an/1967010500811

Lorentz, G.G., Zeller, K.L., Gleichmäßige Approximation durch monotone Polynome, Math. Z. 109, 87-91 (1969), (German) Zbl 0175.06201, https://doi.org/10.1007/bf01111237 DOI: https://doi.org/10.1007/BF01111237

Lorentz, G.G., Zeller, K.L., Monotone approximation by algebraic polynomials, Trans. Am. Math. Soc., 149, 1-18 (1970), Zbl 0198.40101, https://doi.org/10.1090/s0002-9947-1970-0285843-5 DOI: https://doi.org/10.1090/S0002-9947-1970-0285843-5

Lorentz, G.G., Monotone approximation. Inequalities III, Proc. 3rd Symp., Los Angeles 1969, 201-215 (1972), Zbl 0296.41006.

Lorentz, R.A., Uniqueness of best approximation by monotone polynomials. J. Approximation Theory, 4, 401-418 (1971), Zbl 0247.41006, https://doi.org/10.1016/0021-9045(71)90006-2 DOI: https://doi.org/10.1016/0021-9045(71)90006-2

Lorentz, Rudolph A., Positive Approximation, Ber. Ges. Math. Datenverarbeitung, Bonn 49, 11 S. (1971), (German) Zbl 0264.41010.

Rice, J.R., Approximation with convex constraints, J. Soc. Ind. Appl. Math. 11, 15-32 (1963), Zbl 0116.04501, https://doi.org/10.1137/0111002 DOI: https://doi.org/10.1137/0111002

Roulier, J.A., Monotono approximation of certain classes of functions, J. Approximation Theory 1, 319-324 (1968), Zbl 0167.04902, https://doi.org/10.1016/0021-9045(68)90009-9 DOI: https://doi.org/10.1016/0021-9045(68)90009-9

Shisha, O., Monotone approximation, Pac. J. Math. 15, 667-671 (1965)., Zbl 0148.29302, https://doi.org/10.2140/pjm.1965.15.667 DOI: https://doi.org/10.2140/pjm.1965.15.667

Taylor, G.D., Approximation by Functions Having Restricted Ranges III, J. Math. Anal. Appl., 27, 241-248, 1969, https://doi.org/10.1016/0022-247x(69)90045-6 DOI: https://doi.org/10.1016/0022-247X(69)90045-6

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Published

1972-02-01

How to Cite

Cimoca, G. (1972). On restrictive uniform approximation. Rev. Anal. Numér. Théorie Approximation, 1, 37–43. https://doi.org/10.33993/jnaat11-2

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Vol. 1 (1972)

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