Correction to: Acta Scientiarum Mathematicarum https://doi.org/10.1007/s44146-024-00108-y

The publication of this article unfortunately contained mistakes. There were errors in the abstract and in one equation. The corrected abstract and equation are given below.

Incorrect abstract:

In this article, we study strongly convex matrix functions and the strong Davis-Sherman condition to see their relations, corresponding to those of strongly operator-convex functions in Brown (Can J Math 40:865–988, 1988; Ann Funct Anal 9:41–55, 2018)and in Brown and Uchiyama(Linear Algebra Appl) Linear Algebra Appl 553:238–251, 2018).

Correct abstract:

In this article, we study strongly convex matrix functions and the strong Davis-Sherman condition to see their relations, corresponding to those of strongly operator-convex functions in Brown (Can J Math 40:865–988, 1988; Ann Funct Anal 9:41–55, 2018) and in Brown and Uchiyama (Linear Algebra Appl 553:238–251, 2018).

Incorrect equation:

$$\begin{aligned}{} & {} \mathrm {(i)}\quad |{ x}|^2 f(\alpha ) + |{ y}|^2 f(\beta ) - f(|{ x}|^2 \alpha + |{ y}|^2 \beta ) \geqq 0; \\{} & {} \mathrm {(ii)}\quad |{ z}|^2 f(\alpha ) + |{ w}|^2 f(\beta ) \geqq 0; \\{} & {} \mathrm {(iii)}\qquad \{|{ x}|^2 f(\alpha ) + |{ y}|^2 f(\beta ) - f(|{ x}|^2 \alpha + |{ y}|^2 \beta )\} \{|{ z}|^2 f(\alpha ) + |{ w}|^2 f(\beta ) \} \\{} & {} \quad \geqq |{ x}\overline{{ z}} f(\alpha ) + { y} \overline{{ w}}f(\beta )|^2. \end{aligned}$$

Correct equation:

$$\begin{aligned}{} & {} \mathrm{(i)}\quad |{ x}|^2 f(\alpha ) + |{ y}|^2 f(\beta ) - f(|{ x}|^2 \alpha + |{ y}|^2 \beta ) \geqq 0; \\{} & {} \mathrm{(ii)}\quad |{ z}|^2 f(\alpha ) + |{ w}|^2 f(\beta ) \geqq 0; \\{} & {} \mathrm{(iii)}\quad \{|{ x}|^2 f(\alpha ) + |{ y}|^2 f(\beta ) - f(|{ x}|^2 \alpha + |{ y}|^2 \beta )\} \{|{ z}|^2 f(\alpha ) + |{ w}|^2 f(\beta ) \} \\{} & {} \quad \geqq |{ x}\overline{{ z}} f(\alpha ) + { y} \overline{{ w}}f(\beta )|^2. \end{aligned}$$

The original article has been corrected.