The stability of some points arising from continuous, differential and integral expressions

DOI10.1007/s00605-015-0779-7zbMath1341.39015OpenAlexW971529315MaRDI QIDQ284081

Mihai Monea, Dan Ştefan Marinescu, Cristinel Mortici

Publication date: 17 May 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0779-7

zbMATH Keywords

inequalitiesfixed pointsextreme pointsHyers-Ulam stabilityDarboux functionsmean value theoreminflection pointscontinuous functionsstationary pointsdivided differencesFlett's pointintermediary pointsPompeiu's pointsRiemann integrals

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (6)

Some considerations about Hyers-Ulam stability of the intermediary point arising from the mean value theorems ⋮ An integral mean value theorem concerning two continuous functions and its stability ⋮ On some mean value points defined by divided differences and their Hyers-Ulam stability ⋮ About Karamata mean value theorem, some consequences and some stability results ⋮ Some stability results related to some fixed point theorems ⋮ Stability of \(n\)-th order Flett's and Sahoo-Riedel's points

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