@article{Tinaztepe2026, 
author = {Ramazan Tinaztepe and Gultekin Tinaztepe},
title = {A refinement of Jensen's inequality through abstract convexity},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {3},
pages = {7543-7554},
keywords = {Jensen inequality, abstract convexity, refinement, optimization},
url = {https://www.sciopen.com/article/10.3934/math.2026309},
doi = {10.3934/math.2026309},
abstract = {In this study, the Jensen inequality has been refined. To achieve this, we employ the fact that an abstract convex function with certain structural properties can be bounded from below in a neighborhood of its global minimum in terms of the norm of its gradient. Some examples have been provided to show the extent of refinement.}
}