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Editorial: S. N. Mergelyan’s Dissertation “Best Approximations in the Complex Domain” (Short Version)
 
 
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Volume 12
Issue 13
10.3390/math12131952
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Correction to Mathematics 2024, 12(7), 939.
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Correction

Correction: Mergelyan, S.N.; Matevossian, H.A. Editorial: S. N. Mergelyan’s Dissertation “Best Approximations in the Complex Domain” (Short Version). Mathematics 2024, 12, 939

by
Sergey N. Mergelyan
1,† and
Hovik A. Matevossian
2,*
1
Steklov Mathematical Institute of the USSR Academy of Sciences, Moscow 117966, Russia
2
Federal Research Center “Computer Science & Control”, Russian Academy of Sciences, Moscow 119333, Russia
*
Author to whom correspondence should be addressed.
†
Dr. Sergey N. Mergelyan passed away on 20 August 2008.
Mathematics 2024, 12(13), 1952; https://doi.org/10.3390/math12131952
Submission received: 3 June 2024 / Accepted: 4 June 2024 / Published: 24 June 2024
(This article belongs to the Special Issue Differential Equations of Mathematical Physics and Related Problems of Mechanics)
Versions Notes
The title should be corrected to “Editorial: S. N. Mergelyan’s Dissertation “Best Approximations in the Complex Domain” (Short Version)”.
Hovik A. Matevossian was not included as an author in the original publication [1] and should be added. Added his address and email, and Hovik A. Matevossian should be listed as the corresponding author.
A correction has been made to the Introduction section—the 10th paragraph and 14th paragraph: the 10th paragraph was removed; a new paragraph was added between the original 13th and 14th paragraphs (as outlined below).
“In Section 3 given the rate of approximation and the domain D, the necessary properties of the function are investigated, and the theorems are local in nature, since the same rate of approximation imposes different restrictions on the function at different boundary points, depending on the behavior of the domain D near these points. Thus, it is possible to verify the accuracy of the estimates Section 1”.
All the proofs of theorems were removed.
The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor.

Reference

  1. Mergelyan, S.N.; Matevossian, H.A. Editorial: S. N. Mergelyan’s Dissertation “Best Approximations in the Complex Domain” (Short Version). Mathematics 2024, 12, 939. [Google Scholar] [CrossRef]
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MDPI and ACS Style

Mergelyan, S.N.; Matevossian, H.A. Correction: Mergelyan, S.N.; Matevossian, H.A. Editorial: S. N. Mergelyan’s Dissertation “Best Approximations in the Complex Domain” (Short Version). Mathematics 2024, 12, 939. Mathematics 2024, 12, 1952. https://doi.org/10.3390/math12131952

AMA Style

Mergelyan SN, Matevossian HA. Correction: Mergelyan, S.N.; Matevossian, H.A. Editorial: S. N. Mergelyan’s Dissertation “Best Approximations in the Complex Domain” (Short Version). Mathematics 2024, 12, 939. Mathematics. 2024; 12(13):1952. https://doi.org/10.3390/math12131952

Chicago/Turabian Style

Mergelyan, Sergey N., and Hovik A. Matevossian. 2024. "Correction: Mergelyan, S.N.; Matevossian, H.A. Editorial: S. N. Mergelyan’s Dissertation “Best Approximations in the Complex Domain” (Short Version). Mathematics 2024, 12, 939" Mathematics 12, no. 13: 1952. https://doi.org/10.3390/math12131952

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