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Gwinner, Joachim
Mean value theorem for convex functionals. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 2, pp. 213-218
MSC: 26A16, 26A51, 26A96, 26D10, 26E15, 46A99, 47A99, 47H05 | MR 0442167 | Zbl 0352.26007
References:
[1] I. EKELAND R. TEMAM: Analyse convexe et problemes variationals. Paris 1974.
[2] R. B. HOLMES: Geometric functional analysis and its applications. New York 1975. MR 0410335 | Zbl 0336.46001
[3] J. KOLOMÝ: Uniform boundedness and strong continuity of derivatives convex functionals. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 21 (1973), 41-45. MR 0315441
[4] J. KOLOMÝ: Some properties of monotone (potential) operators. Beiträge Anal. 8 (1976), 77-84. MR 0448168 | Zbl 0322.47033
[5] W. ORLICZ Z. CIESIELSKI: Some remarks on the convergence of functionals on bases. Studia Math. 16 (1958), 335-352. MR 0093699
[6] R. T. ROCKAFELLAR: Convex analysis. Princeton 1970. MR 0274683 | Zbl 0193.18401
[7] L. L. WEGGE: Mean value theorem for convex functions. J. Math. Econom. 1 (1974), 207-208. Zbl 0292.90043
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