On best one-sided approximation with interpolatory families

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  • Ilija Lazarevic Elektrotehnicki facultet Beograd, Serbia
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References

Cheney, E. W., Introduction to approximation theory. McGraw-Hill Book Co., New York-Toronto, Ont.-London 1966 xii+259 pp., MR0222517.

Dem'janov, V. F., Rubinov, A. M., cyr Priblizhennye metody resheniya èkstremal'nykh zadach. (Russian) [Approximate methods of solution of extremal problems] Izdat. Leningrad. Univ., Leningrad 1968 180 pp. (errata insert)., MR0244823.

Kammerer, William John, OPTIMAL APPROXIMATIONS OF FUNCTIONS: ONE SIDED APPROXIMATION AND EXTREMAPRESERVING APPROXIMATIONS. Thesis (Ph.D.)-The University of Wisconsin - Madison. 1959. 74 pp., Thesis, MR2612961.

Laurent, Pierre-Jean, Approximation et optimisation. (French) Collection Enseignement des Sciences, No. 13. Hermann, Paris, 1972. xiii+531 pp., MR0467080.

Lazarević, Ilija B., Some properties of n-parameter families of functions. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 357-380 (1971), 101-106, MR0320253.

Lewis, James T., Approximation with convex constraints. SIAM Rev. 15 (1973), 193-217, MR0326229, https://doi.org/10.1137/1015006

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Popoviciu, E., Teoreme de medie din analiza matematică şi legătura lro cu teoria interpolării, Editura Dacia, Cluj, 1972.

Popoviciu, T., Notes sur les fonctions convexes d'ordre supérieur (VI). (French) Rev. Math. Union Interbalkan. 2, (1939). 31-40, MR0001253.

Popoviciu, T., Sur le reste dans certaines formules linéaires d'approximation de l'analyse. (French) Mathematica (Cluj) 1 (24) 1959 95-142, MR0129531.

Popoviciu, T., Sur le reste dans certaines formules linéaires d'approximation de l'analyse. (French) Mathematica (Cluj) 1 (24) 1959 95-142, MR0129531.

Taylor, G. D., On approximation by polynomials having restricted ranges. SIAM J. Numer. Anal. 5 1968 258-268, MR0252927.

Taylor, G. D., Approximation by functions having restricted ranges. III. J. Math. Anal. Appl. 27 1969 241-248, MR0257611.

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Published

1974-08-01

How to Cite

Lazarevic, I. (1974). On best one-sided approximation with interpolatory families. Rev. Anal. Numér. Théorie Approximation, 3(2), 181–203. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1974-vol3-no2-art8

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