Delta-convexity with given weights

Roman Ger
https://orcid.org/0000-0001-6988-5415


Abstract

Some differentiability results from the paper of D.Ş. Marinescu & M. Monea [7] on delta-convex mappings, obtained for real functions, are extended for mappings with values in a normed linear space. In this way, we are nearing the completion of studies established in papers [2], [5] and [7].


Keywords

delta convexity; Jensen delta convexity; delta (s,t)-convexity; functional inequalities; absolute continuity; Radon-Nikodym property (RNP)

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Published : 2020-05-08


GerR. (2020). Delta-convexity with given weights. Annales Mathematicae Silesianae, 34(1), 73-80. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13633

Roman Ger  roman.ger@us.edu.pl
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland
https://orcid.org/0000-0001-6988-5415



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