Extension of Hölder functions and some related problems of best approximation



Costica Mustata
“Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania



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C. Mustăţa, Extension of Hölder functions and some related problems of best approximation, ”Babeş-Bolyai” Univ., Research Seminars, Seminar on Mathematical Analysis, Preprint nr. 7 (1991), 71-86.



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MR # 94f: 41038

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[1] Aronsson, G., Extension of functions satisfying Lipschitz conditions, Arkiv for Mathematik, 6, 28(1967), 551-561
[2] Czipser, J. and Cheher, L., Extension of funcitons satisfying a Lipschitz condition, Acta Math. Acad. Sci. Hungar 6(1955), 213-220.
[3] Levy, R and Rice, M.D, The approximation of uniformly continuous mappings by Lipschitz and Holder mappings, (preprint) 1980, 29 p.
[4] McShane, E.J., Extension of range of functions, Bull. Amer. Soc. 40 (1934), 837-842.
[5] Mustăța, C., Best approximation and unique extension of Lipschitz funcitons, Journal Approx. Theory 19 (1977), 222-230.
[6] Singer, I., Best approximation in normed linear spaces by elements of linear subspaces, Springer-Verlag, 171, 1970.
[7] Shubert, B., A sequential method seeking the global maximum of a function, SIAM J.Num. Anal. 9(1972), 379-388.
[8] Shubert, B., The Otto Dunkel Memorial Problem Book, New York, 1956


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