Results 11 to 20 of about 276 (109)

Monotone and fast computation of Euler’s constant [PDF]

open access: yesJournal 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
doaj   +2 more sources

Fast convergence of generalized DeTemple sequences and the relation to the Riemann zeta function [PDF]

open access: yesJournal 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
doaj   +2 more sources

GeneMiner2: Accurate and Automated Recovery of Genes From Genome Skimming Data [PDF]

open access: yesMolecular Ecology Resources, Volume 26, Issue 2, February 2026.
ABSTRACT With the growing accessibility of low cost genome skimming, large‐scale recovery of target genes in non‐model species has become feasible, providing strong data for phylogenomic and evolutionary studies. However, existing tools for data assembly including Read2Tree, HybPiper, and GeneMiner still suffer from computational difficulty and ...
Xinyi Yu   +7 more
wiley   +2 more sources

Accuracy of Euler’s gamma expansion without logarithm

open access: yesLietuvos Matematikos Rinkinys, 2014
The rational approximations for the Euler–Mascheroni constant  using the Euler asymptotic expansion are obtained. The errors of approximations are evaluated. The numerical computations reflect the accuracy of the approximations.
Juozas Juvencijus Mačys, Rimas Banys
doaj   +1 more source

Improvements of the bounds for Ramanujan constant function

open access: yesJournal of Inequalities and Applications, 2016
In the article, we establish several inequalities for the Ramanujan constant function R ( x ) = − 2 γ − ψ ( x ) − ψ ( 1 − x ) $R(x)=-2\gamma-\psi(x)-\psi(1-x)$ on the interval ( 0 , 1 / 2 ] $(0, 1/2]$ , where ψ ( x ) $\psi(x)$ is the classical psi ...
Hong-Hu Chu   +3 more
doaj   +1 more source

Stochastic Models of Jaya and Semi-Steady-State Jaya Algorithms

open access: yesIEEE Access, 2022
The Jaya algorithm and its variants have enjoyed great success in diverse application areas, but no theoretical analysis of the algorithm, to our knowledge, is available in the literature.
Uday Kumar Chakraborty
doaj   +1 more source

Median Bernoulli Numbers and Ramanujan’s Harmonic Number Expansion

open access: yesMathematics, 2022
Ramanujan-type harmonic number expansion was given by many authors. Some of the most well-known are: Hn∼γ+logn−∑k=1∞Bkk·nk, where Bk is the Bernoulli numbers.
Kwang-Wu Chen
doaj   +1 more source

On the main constants in the probability theory

open access: yesLietuvos Matematikos Rinkinys, 2010
We consider the place of the main mathematical constants in the probability theory. The present situation of their elementary theory is discussed.
Juozas Juvencijus Mačys
doaj   +1 more source

On Rational Approximations to Euler's Constant 𝛾 and to 𝛾+log(𝑎/𝑏)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
The author continues to study series transformations for the Euler-Mascheroni constant 𝛾. Here, we discuss in detail recently published results of A. I. Aptekarev and T.
Carsten Elsner
doaj   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

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