On midconvex functions with midconcave bounds
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- by C. T. Ng PDF
- Proc. Amer. Math. Soc. 102 (1988), 538-540 Request permission
Abstract:
A representation theorem for midconvex functions with midconcave upper bounds is obtained. It solves a problem posed by K. Nikodem.References
- E. F. Bechenbach, Convex functions, Bull. Amer. Math. Soc. 54 (1948), 439–460. MR 24479, DOI 10.1090/S0002-9904-1948-08994-7
- J. H. B. Kemperman, A general functional equation, Trans. Amer. Math. Soc. 86 (1957), 28–56. MR 94610, DOI 10.1090/S0002-9947-1957-0094610-0 K. Nikodem, Problems and remarks (Proceedings of the International Conference on Functional Equations and Inequalities, May 27-June 2, 1984, Sielpia (Poland)), Wyẓ. Szkoła Ped. Krakow. Rocznik Nauk.-Dydakt. Prace Mat. 97 (1985).
- A. Wayne Roberts and Dale E. Varberg, Convex functions, Pure and Applied Mathematics, Vol. 57, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1973. MR 0442824
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 538-540
- MSC: Primary 26B25; Secondary 26B40, 39C05
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928975-7
- MathSciNet review: 928975