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Article
Peer-Review Record

Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences

Entropy 2023, 25(6), 954; https://doi.org/10.3390/e25060954
by László Horváth
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Reviewer 3: Anonymous
Entropy 2023, 25(6), 954; https://doi.org/10.3390/e25060954
Submission received: 4 June 2023 / Revised: 16 June 2023 / Accepted: 17 June 2023 / Published: 19 June 2023
(This article belongs to the Special Issue Shannon Entropy: Mathematical View)

Round 1

Reviewer 1 Report

See pdf file

Comments for author File: Comments.pdf

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

I recommend this paper for publication after minor revision. Please see the attached file.

Comments for author File: Comments.pdf

Minor editing of English language is required. 

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 3 Report

The author proposes a uniform treatment for several majorization inequalities, including the classical Hermite-Hatamard inequality and its several generalizations. According to my knowledge, the results are new. The proofs appear to be correct. Moreover, the exposition is very clear.

I have only one small remark: lines 279-280: it is better to keep all notational conventions at the beginning of the paper, so I suggest moving the definition of the set of positive integers and the definition of the interior to Section 2.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

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