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Peer-Review Record

Convergence Theorems in Interval-Valued Riemann–Lebesgue Integrability

Mathematics 2022, 10(3), 450; https://doi.org/10.3390/math10030450
by Anca Croitoru 1,*, Alina Gavriluţ 1, Alina Iosif 2 and Anna Rita Sambucini 3
Reviewer 1:
Reviewer 2: Anonymous
Mathematics 2022, 10(3), 450; https://doi.org/10.3390/math10030450
Submission received: 21 December 2021 / Revised: 27 January 2022 / Accepted: 27 January 2022 / Published: 30 January 2022

Round 1

Reviewer 1 Report

The article is interesting and contains new results. However, I believe that the content of the article does not partially correspond to the title of the article. I believe the authors should call the paper “Convergence theorems in interval-valued Riemann-Lebesgue integrability”. Since they in the article consider interval-valued mappings, but do not consider set-valued mappings. Obviously, the method of obtaining these results (it is inherent only for the interval case) cannot be carried over to obtaining similar results for the set-valued case.

Author Response

Response to Reviewer 1

 We changed the title of the paper, according to the suggestion of Reviewer 1.

The authors are very grateful to Reviewer 1 for his valuable suggestion in improvement of this paper.

Author Response File: Author Response.docx

Reviewer 2 Report

The article presents 16 theorems with proofs, but there is not a single example. The article would become much better and more useful for readers if it were supplemented with two or three examples illustrating the results obtained in the theorems and showing their features. 

Author Response

Response to Reviewer 2

 We took into account the comment of Reviewer 2 and considered Examples 2.5, 2.7, 5.3.

The authors are very grateful to Reviewer 2 for his valuable suggestion in improvement of this paper.

Author Response File: Author Response.docx

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