On some sequences whose limit is the Euler gamma constant

There are two known sequences of real numbers converging to the Euler gamma constant, one of them strictly decreasingly and the other one strictly increasingly on the whole domain of indices, that is, on the set of all positive natural numbers. Here, we present a complete picture on the monotonicity...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2025; no. 1; pp. 75 - 11
Main Author Stević, Stevo
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 17.06.2025
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Class of real sequences
Convergence
Euler gamma constant
Mathematics
Mathematics and Statistics
Monotone sequences
Number theory
Real numbers
40A05
Euler gamma constant
Monotone sequences
52A41
Class of real sequences
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Summary:There are two known sequences of real numbers converging to the Euler gamma constant, one of them strictly decreasingly and the other one strictly increasingly on the whole domain of indices, that is, on the set of all positive natural numbers. Here, we present a complete picture on the monotonicity character of the one-parameter class of sequences of real numbers consisting of their convex combinations on the whole domain of indices.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-025-03321-7