Some new convergent sequences and inequalities of Euler's constant
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Publication:2252486
DOI10.1016/J.JMAA.2014.05.018zbMath1300.40002OpenAlexW1964328076MaRDI QIDQ2252486
Publication date: 17 July 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.05.018
Related Items (14)
A new sequence convergent to Euler-Mascheroni constant ⋮ The monotonicity and convexity of a function involving psi function with applications ⋮ 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 ⋮ Some new approximations and inequalities of the sequence \((1+1/n)^n\) and improvements of Carleman's inequality ⋮ New quicker sequences and inequalities with continued fraction towards Euler's constant ⋮ Some quicker continued fraction approximations and inequalities towards Euler's constant ⋮ Some properties of the divided difference of psi and polygamma functions ⋮ On some convergence to the constant \(e\) and proof of Keller's limit ⋮ Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant ⋮ A logarithmic estimate for harmonic sums and the digamma function, with an application to the Dirichlet divisor problem ⋮ Continued fraction inequalities for the Euler-Mascheroni constant ⋮ Necessary and sufficient conditions for functions involving the psi function to be completely monotonic
Cites Work
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- On new sequences converging towards the Euler-Mascheroni constant
- A continued fraction approximation of the gamma function
- A new quicker sequence convergent to Euler's constant
- Product Approximations via Asymptotic Integration
- A Quicker Convergence to Euler's Constant
- OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT
- Very accurate estimates of the polygamma functions
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