@article { author = {Daraby, Bayaz and Ghazanfary Asll, Hassan and Sadeqi, IldarI}, title = {A Version of Favard's Inequality for the Sugeno Integral}, journal = {Sahand Communications in Mathematical Analysis}, volume = {17}, number = {1}, pages = {23-37}, year = {2020}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2020.119368.728}, abstract = {In this paper, we  present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,\Sigma,\mu)$, where $\mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.}, keywords = {Favard's inequality,Sugeno integral,Fuzzy measure,Fuzzy integral inequality}, url = {https://scma.maragheh.ac.ir/article_38119.html}, eprint = {https://scma.maragheh.ac.ir/article_38119_b1a064e55b58dec94960732d5d3f9580.pdf} }