The purpose of the paper is to introduce the Jensen-inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen-inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization problems, the arithmetic mixture distribution provides optimal information based on the inaccuracy information measure. Finally, two real examples from image processing are studied and some numerical results in terms of the inaccuracy and Jensen-inaccuracy information measures are obtained.
Keywords: Jensen–inaccuracy measure; Rényi entropy; average entropy; inaccuracy measure; optimal information.