About the determination of extremes of Hölder functions



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



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C. Mustăţa, About the determination of extremes of Hölder functions, Seminar of Functional Analysis and Numerical Methods, Preprint Nr. 1 (1983), 107-116.



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[1] G. Aronsson, Extension of functions satisfying Lipschitz conditions, Arkiv for Mathematik  6, 28 (1967), 551-561.
[2] J. Czipser and L. Geher, Extension of functions satisfying a Lipschitz condition, Acta Math. Acad. Sci. Hungar 6 (1955), 213-220.
[3] R. Levi and M.D., Rice, The Approximation of Uniformly Continuous Mappings by Lipschitz and Holder Mappings (prerint), 1980.
[4] E.J. McShane, Extension  of range of functions, Bull. Amer. Math.Soc. 40 (1934), 837-842.
[5] C. Mustata, Best Approximation and Unique Extension of Lipschitz Functions, Journal Approx. Theory 19 (1977), 222-230.
[6] B. Shubert, A sequential method seeking the global maximum of a  function, SIAM J. Numer. Anal. 9 (1972), 379-388.
[7] The Otto Dunkel Memorial Problem Book, New York (1957).


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