Results 1 to 10 of about 276 (112)
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 +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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Monotone and fast computation of Euler’s constant [PDF]
Journal of Inequalities and Applications, 2017 We construct sequences of finite sums ( l ˜ n ) n ≥ 0 $(\tilde{l}_{n})_{n\geq 0}$ and ( u ˜ n ) n ≥ 0 $(\tilde{u}_{n})_{n\geq 0}$ converging increasingly and decreasingly, respectively, to the Euler-Mascheroni constant γ at the geometric rate 1/2.
José A Adell, Alberto Lekuona
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Fast convergence of generalized DeTemple sequences and the relation to the Riemann zeta function [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we introduce new sequences, which generalize the celebrated DeTemple sequence, having enhanced speed of convergence. We also give a new representation for Euler’s constant in terms of the Riemann zeta function evaluated at positive odd ...
Shanhe Wu, Gabriel Bercu
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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 21It 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 +1 more
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