Results 1 to 10 of about 276 (109)

Optimal bounds for the generalized Euler–Mascheroni constant [PDF]

Journal of Inequalities and Applications, 2018
We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang, Bo-Wen Han, Xiao-Yan Ma, Yu-Ming Chu   +3 more
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A new sequence related to the Euler–Mascheroni constant [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we provide a new quicker sequence convergent to the Euler–Mascheroni constant using an approximation of Padé type. Our sequence has a relatively simple form and higher speed of convergence.
Shanhe Wu, Gabriel Bercu
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A new sequence convergent to Euler–Mascheroni constant [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we provide a new sequence converging to the Euler–Mascheroni constant. Finally, we establish some inequalities for the Euler–Mascheroni constant by the new sequence.
Xu You, Di-Rong Chen
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Tight bounds for the median of a gamma distribution. [PDF]

PLoS ONE, 2023
The median of a standard gamma distribution, as a function of its shape parameter k, has no known representation in terms of elementary functions. In this work we prove the tightest upper and lower bounds of the form 2-1/k(A + k): an upper bound with A =
Richard F Lyon
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Another New Sequence Which Converges Faster Towards to the Euler–Mascheroni Constant

Axioms
In this paper, we introduce a new sequence, which approximates the Euler–Mascheroni constant γ and converges faster to its limit, with the convergence rate n−5. Also, for this constant, new inequalities are established.
Jenică Crînganu
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A New Sequence Which Converges Faster towards the Euler–Mascheroni Constant

Journal of Mathematics, 2023
The aim of this paper is to propose a new sequence that approximates the Euler–Mascheroni constant which converges faster towards its limit and to establish new inequalities for this constant.
Jenica Cringanu
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General infinite series evaluations involving Fibonacci numbers and the Riemann zeta function

Математичні Студії, 2021
The purpose of this paper is to present closed forms for various types of infinite series involving Fibonacci (Lucas) numbers and the Riemann zeta function at integer arguments.
R. Frontczak, T. Goy
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Euler's Constant, Generalized (I) - Definitions, Examples and Immediate Properties [PDF]

Educaţia 21
It is known that the Euler-Mascheroni constant, which we will denote here by c0, plays a very important role in Mathematics. It is the limit of a decreasing sequence of real numbers, which we will denote here by cn or cn,0, a sequence that belongs to the
Teodor Dumitru Vălcan
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The Euler–Mascheroni constant in school

Lietuvos Matematikos Rinkinys, 2014
It is demonstrated how the Euler–Mascheroni constant  $\gamma$ can be defined quite simple in the school. Two approaches are considered: the first one using logarithms and derivatives, and the second one using only elementary knowledge of sequences.
Juozas Juvencijus Mačys, Jurgis Sušinskas   +1 more
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Euler's constant, generalized (II) - other ways of determining [PDF]

Educaţia 21
In a previous paper, we generalized the well-known Euler-Mascheroni constant c0, in both positive and negative senses. In this sense, for each (0,1), starting from two generalizations of the string cn which converges to c0, we obtained two sequences cn,
Teodor Dumitru Valcan
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