Correction to: Logarithmic refinements of a power weighted Hardy–Rellich-type inequality

Due to a mistake in the original file version of [2], the proof of the optimality of the constant A n, in [1, Theorem 2.3] is incorrect (i.e., the arguments from the line below Eq. (2.22) in [1] to the end of that proof are incorrect).The mistake in [2] has now been corrected and [2] has been updated.For a correct proof of the optimality of A n, in [1, Theorem 2.3], we refer the reader to the updated and corrected proof of [2, Theorem A.6].In addition, [1, Remark 2.4 (ii)] should be ignored, since optimality of A n, in [1, Theorem 2.3] is now directly proved in the updated version of [2, Theorem A.6].