Ulam Stability of Jensen Functional Inequality on a Class of Noncommutative Groups
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DOI: 10.1155/2023/6674969
Abstract: In the paper, we introduce new ρ -functional inequalities related to the Jensen functional equation and some properties. The Hyers-Ulam stability of functional inequalities is proved. read more here.
Keywords: jensen functional; stability jensen; ulam stability; inequality class ... See more keywords
Brzdęk’s fixed point method for the generalised hyperstability of bi-Jensen functional equation in (2,β)-Banach spaces
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DOI: 10.2298/fil1814897e
Abstract: Using the fixed point theorem [12, Theorem 1] in (2, β)-Banach spaces, we prove the generalized hyperstability results of the bi-Jensen functional equation 4 f (x + z 2 , y + w 2 )… read more here.
Keywords: jensen functional; banach spaces; functional equation; equation ... See more keywords
Extended normalized Jensen functional related to convexity, 1-quasiconvexity and superquadracity
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2018-12-57
Abstract: In this paper we extend results related to Normalized Jensen Functional in several directions. We compare a specific Jensen functional with a sum of other functionals for convex functions, and we also extend these results… read more here.
Keywords: related convexity; functional related; jensen functional; convexity quasiconvexity ... See more keywords