Functional Equalities and Some Mean Values
Copyright policy )Functional Equalities and Some Mean Values
Some generalizations of the results of \textit{Y.-H. Kim} [J. Math. Anal. Appl. 235, No.~2, 598-607 (1999; Zbl 0954.26004)] are given. For example, it is proved that if \( h:\mathbb{R}^{+}\rightarrow \mathbb{R}\) is a strictly monotonic function and \(M\) is a mean value, then there exists a number \(T>1\) such that \[ a<\frac{1}{M(a,b)}h^{-1}\left( \int_{0}^{1}h(s)ds\right)
- University of Haifa Israel
- University of Zagreb Croatia
Functional equations for real functions, Applied Mathematics, functional equations, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, mean values, Analysis, Means
Functional equations for real functions, Applied Mathematics, functional equations, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, mean values, Analysis, Means
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