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On convex stochastic processes

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References

  1. Bernstein, F. andDoetsch, G.,Zue Theorie der konvexen Funktionen. Math. Ann.76 (1915), 514–526.

    Google Scholar 

  2. Dubikajtis, L., Ferens, C., Ger, R. andKuczma, M.,On Mikusiński's functional equation Ann. Polon. Math.28 (1973), 39–47.

    Google Scholar 

  3. Ger, R.,Some remarks on convex functions. Fund. Math.66 (1970), 255–262.

    Google Scholar 

  4. Ger, R.,Some new conditions of continuity of convex functions. Mathematica (Clui)12 (35) (1970), 271–277.

    Google Scholar 

  5. Ger, R. andKuczma, M.,On the boundedness of continuity of convex functions and additive functions. Aequationes Math.4 (1970), 157–162.

    Google Scholar 

  6. Halmos, P. R.,Measure theory. Van Nostrand, New York, 1950.

    Google Scholar 

  7. Kemperman, J. H. B.,A general functional equation. Trans. Amer. Math. Soc.86 (1957), 28–56.

    Google Scholar 

  8. Kominek, Z.,On the sum and difference of two sets in topological vector spaces. Fund. Math.71 (1971), 165–169.

    Google Scholar 

  9. Kominek, Z.,Some generalization of the theorem of S. Picard. Prace Nauk. Uniw. Śląsk. Katowic.37 (1973), 31–33.

    Google Scholar 

  10. Kuczma, M.,Note on convex functions. Ann. Univ. Sci. Budapest. Sect. Math.2 (1959), 25–26.

    Google Scholar 

  11. Kuczma, M.,Some remarks on convexity and monotonicity. Rev. Roum. Math. Pures Appl.15 (1970), 1463–1469.

    Google Scholar 

  12. Kuczma, M.,Convex functions. InFunctional equations and inequalities. (Corso tenuto a La Mendola (Trento) dal 20 al 28 agosto 1970). Edizioni Cremonese, Roma 1971, pp. 195–213.

    Google Scholar 

  13. Kuczma, M. E.,On discontinuous additive functions. Fund. Math.66 (1970), 383–392.

    Google Scholar 

  14. Kuczma, M. E. andKuczma, M.,An elementary proof and an extension of a theorem of Steinhaus. Glasnik Mat.6 (26) (1971), 11–18.

    Google Scholar 

  15. Kurepa, S.,Convex functions. Glaskik Mat. Fiz. Astronom. Ser. II11 (1956), 89–93.

    Google Scholar 

  16. Mehdi, M. R.,On convex functions. J. London Math. Soc.39 (1964), 321–326.

    Google Scholar 

  17. Nagy, B.,On a generalization of the Cauchy equation. Aequationes Math.10 (1974), 165–171.

    Google Scholar 

  18. Ostrowski, A.,Über die Funktionalgleichung der Exponentialfunktion und verwandte Funktionalgleichungen. Jahresber. Deutsch. Math. Verein.38 (1929), 54–62.

    Google Scholar 

  19. Picard, S.,Sur des ensembles parfaits. Paris, 1942.

  20. Roberts, A. W. andVarberg, D. E.,Convex functions. Academic Press, New York, 1973.

    Google Scholar 

  21. Sierpiński, W.,Sur les fonctions convexes mesurables. Fund. Math.1 (1920), 125–128.

    Google Scholar 

  22. Steinhaus, H.,Sur les distance des points des ensembles de mesure positive. Fund. Math.1 (1920), 93–104.

    Google Scholar 

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Nikodem, K. On convex stochastic processes. Aeq. Math. 20, 184–197 (1980). https://doi.org/10.1007/BF02190513

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