Approximation formulas and inequalities for the Euler-Mascheroni constant
From MaRDI portal
Publication:2226204
DOI10.1007/s13398-021-00999-4zbMath1468.11253OpenAlexW3119563662MaRDI QIDQ2226204
Publication date: 11 February 2021
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-021-00999-4
asymptotic expansioninequalityEuler-Maclaurin summation formulaIoachimescu's constantgeneralized Euler-Mascheroni constant
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Evaluation of number-theoretic constants (11Y60)
Related Items (3)
Some properties of the remainders in certain series representations for the constant \(\pi\) ⋮ Approximations to the Euler-Mascheroni constant ⋮ New properties for the Ramanujan \(R\)-function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Padé approximant related to remarkable inequalities involving trigonometric functions
- A solution to an open problem on the Euler-Mascheroni constant
- On the coefficients of asymptotic expansion for the harmonic number by Ramanujan
- Estimations of psi function and harmonic numbers
- Some new sequences that converge to a generalized Euler constant
- Complete monotonicity and limit of a generalized Euler sequence
- A double inequality for a generalized-Euler-constant function
- Sequences that converge quickly to a generalized Euler constant
- Fast convergences towards Euler-Mascheroni constant
- New sequence converging towards the Euler-Mascheroni constant
- On an open problem of Chen and Mortici concerning the Euler-Mascheroni constant
- Improved convergence towards generalized Euler-Mascheroni constant
- On generalized Euler constants and Schlömilch-Lemonnier type inequalities
- On new sequences converging towards the Euler-Mascheroni constant
- On the computation of the Euler constant \({\gamma}\)
- Some new sequences and inequalities related to Euler's constant
- Unified treatment of several asymptotic expansions concerning some mathematical constants
- Optimal rate of convergence for sequences of a prescribed form
- Integrals involving the Legendre Chi function
- Divisibility properties of random samples of integers
- Asymptotic formulas associated with psi function with applications
- On \(q\)-Raabe integral and some extensions
- New representations of Padé, Padé-type, and partial Padé approximants
- A generalization of Euler's constant
- A topological property of the common fixed points set of two multivalued operators
- Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant
- A Survey of Euler's Constant
- Asymptotic formulae associated with the Wallis power function and digamma function
- A Quicker Convergence to Euler's Constant
- Partial Sums of Infinite Series, and How They Grow
- Regarding a generalisation of Ioachimescu's constant
This page was built for publication: Approximation formulas and inequalities for the Euler-Mascheroni constant