A Quicker Convergence to Euler's Constant
From MaRDI portal
Publication:3139917
DOI10.2307/2324300zbMath0858.11068OpenAlexW4234572830WikidataQ60781667 ScholiaQ60781667MaRDI QIDQ3139917
Publication date: 11 March 1997
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2324300
Convergence and divergence of series and sequences (40A05) Evaluation of number-theoretic constants (11Y60)
Related Items (59)
A new sequence convergent to Euler-Mascheroni constant ⋮ A series of sequences convergent to Euler's constant ⋮ A new sequence related to the Euler-Mascheroni constant ⋮ Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function ⋮ Some new improved classes of convergence towards Euler's constant ⋮ Monotonicity rules for the ratio of two Laplace transforms with applications ⋮ Some new sequences and inequalities related to Euler's constant ⋮ New sequences with continued fraction towards Euler's constant ⋮ Improved convergence towards generalized Euler-Mascheroni constant ⋮ A new quicker sequence convergent to Euler's constant ⋮ On the harmonic number expansion by Ramanujan ⋮ Some quicker classes of sequences convergent to Euler's constant ⋮ Investigations about the Euler-Mascheroni constant and harmonic numbers ⋮ Inequalities and asymptotics for the Euler-Mascheroni constant based on DeTemple's result ⋮ Mixing rates for intermittent maps of high exponent ⋮ Topics in Special Functions III ⋮ Fast convergence of generalized detemple sequences and the relation to the Riemann zeta function ⋮ Improved convergence towards Glaisher-Kinkelin's and Bendersky-Adamchik's constants ⋮ Monotonicity properties of functions related to the psi function ⋮ Some new quicker approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants ⋮ Approximations to the Euler-Mascheroni constant ⋮ On some Euler-Mascheroni type sequences ⋮ Adaptive integration of convex functions of one real variable ⋮ Some properties of functions related to the gamma, psi and tetragamma functions ⋮ On the Ramanujan-Lodge harmonic number expansion ⋮ Optimizing the coefficients of the Ramanujan expansion ⋮ Some new continued fraction approximation of Euler's constant ⋮ Approximation formulas and inequalities for the Euler-Mascheroni constant ⋮ Multiple-correction and continued fraction approximation ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ A generalization of Euler's constant ⋮ New quicker sequences and inequalities with continued fraction towards Euler's constant ⋮ Online MapReduce scheduling problem of minimizing the makespan ⋮ Some new convergent sequences of Glaisher-Kinkelin's and Bendersky-Adamchik's constants ⋮ Some quicker continued fraction approximations and inequalities towards Euler's constant ⋮ Some new convergent sequences and inequalities of Euler's constant ⋮ An improved upper bound on the Lebesgue constant of Berrut's rational interpolation operator ⋮ New sequence converging towards the Euler-Mascheroni constant ⋮ Multiple-correction and faster approximation ⋮ Asymptotic formulas associated with psi function with applications ⋮ Computations of class numbers of real quadratic fields ⋮ Limits and inequalities associated with the Euler-Mascheroni constant ⋮ Continued fraction estimates for the psi function ⋮ Inequalities for the Euler-Mascheroni constant ⋮ On an open problem of Chen and Mortici concerning the Euler-Mascheroni constant ⋮ On new sequences converging towards the Euler-Mascheroni constant ⋮ A method to construct continued-fraction approximations and its applications ⋮ Some new approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants by continued fraction ⋮ Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant ⋮ A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant ⋮ Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant ⋮ A logarithmic estimate for harmonic sums and the digamma function, with an application to the Dirichlet divisor problem ⋮ OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT ⋮ Improving some inequalities associated with the Euler-Mascheroni constant ⋮ Improved mixing rates for infinite measure-preserving systems ⋮ BETTER BOUNDS IN CHEN’S INEQUALITIES FOR THE EULER CONSTANT ⋮ Continued fraction inequalities for the Euler-Mascheroni constant ⋮ Necessary and sufficient conditions for functions involving the psi function to be completely monotonic ⋮ Some sharp continued fraction inequalities for the Euler-Mascheroni constant
This page was built for publication: A Quicker Convergence to Euler's Constant