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Correction to: Int J Theor Phys (2022) 61:185
The original version of this article unfortunately contained two mistakes.
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(1)
The second author Zhaoqi Wu is not connected to affiliation 2. Instead, Zhaoqi Wu is connected to affiliation 1. The third author Shao-Ming Fei belongs to both affiliation 2 and affiliation 3, instead of affiliation 3. The correct information is shown in this erratum.
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(2)
The authors wish to correct a typographical error found in the original article. Equation (32) and the equation in the proof of Theorem 8 has writing mistake. The correct equation (32) is found below:
$$\begin{array}{@{}rcl@{}} \sum\limits_{i=1}^{N}\mathrm{K}_{\rho,\gamma}^{\alpha,\upbeta}(A_{i}) &\!\geq\!\! & \left(\begin{array}{c} N-2 \\ k-1 \end{array} \right)^{-1} \left[\sum\limits_{1\leq i_{1}<\cdots<i_{k}\leq N}\mathrm{K}_{\rho,\gamma}^{\alpha,\upbeta}\left(\sum\limits_{j=1}^{k}A_{i_{j}}\right) - \left(\begin{array}{c} N-2 \\ k-2 \end{array} \right) \left(\begin{array}{c} N - 1 \\ k-1 \end{array} \right)^{-2} \right. \\ &&\left. \left(\sum\limits_{1\leq i_{1}<\cdots<i_{k}\leq N}\sqrt{\mathrm{K}_{\rho,\gamma}^{\alpha,\upbeta}\left(\sum\limits_{j=1}^{k}A_{i_{j}}\right)}\right)^{2} \right]~,\alpha,\upbeta\geq 0,\alpha+\upbeta\leq 1,0\leq \gamma \leq 1.\\ \end{array}$$(32)instead of
$$\begin{array}{@{}rcl@{}} \sum\limits_{i=1}^{N}\mathrm{K}_{\rho,\gamma}^{\alpha,\upbeta}(A_{i}) &\geq & \left(\begin{array}{c} N-2 \\ k-1 \end{array} \right)^{-1} \left[\sum\limits_{1\leq i_{1}<\cdots<i_{k}\leq N}\mathrm{K}_{\rho,\gamma}^{\alpha,\upbeta}\left(\sum\limits_{j=1}^{k}A_{i_{j}}\right)-\left(\right) \left(\begin{array}{c} N-1 \\ k-1 \end{array} \right)^{-2} \right. \\ &&\left. \left(\sum\limits_{1\leq i_{1}<\cdots<i_{k}\leq N}\sqrt{\mathrm{K}_{\rho,\gamma}^{\alpha,\upbeta}\left(\sum\limits_{j=1}^{k}A_{i_{j}}\right)}\right)^{2} \right]~,\alpha,\upbeta\geq 0,\alpha+\upbeta\leq 1,0\leq \gamma \leq 1.\\ \end{array}$$(32)
In the proof of Theorem 8, the correct equation is found below:
instead of
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The original article can be found online at https://doi.org/10.1007/s10773-022-05160-4
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Xu, C., Wu, Z. & Fei, SM. Correction to: Sum Uncertainty Relations Based on (α,β,γ) Weighted Wigner-Yanase-Dyson Skew Information. Int J Theor Phys 61, 194 (2022). https://doi.org/10.1007/s10773-022-05186-8
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DOI: https://doi.org/10.1007/s10773-022-05186-8