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Your search keyword '"Dawei Lu"' showing total 10 results
Start Over Author "Dawei Lu" Journal journal of number theory
10 results on '"Dawei Lu"'

1. Some new approximations of Glaisher–Kinkelin's and Bendersky–Adamchik's constants by continued fraction

Author

Lixin Song, Dawei Lu, and Cristinel Mortici

Subjects
Algebra and Number Theory, Rate of convergence, Approximations of π, Computation, 010102 general mathematics, Convergence (routing), Mathematical analysis, Fraction (mathematics), 010103 numerical & computational mathematics, 0101 mathematics, Asymptotic expansion, 01 natural sciences, Mathematics
Abstract

In this paper, some new continued fraction approximations, inequalities and rates of convergence of Glaisher–Kinkelin's and Bendersky–Adamchik's constants are provided. Finally, for demonstrating the superiority of our new convergent sequences over the classical sequences and Mortici's sequences, some numerical computations are also given.

Published
2016

2. Some new continued fraction estimates of the Somos' quadratic recurrence constant

Author

Zexi Song and Dawei Lu

Subjects
Algebra and Number Theory, Somos' quadratic recurrence constant, Mathematical analysis, Euler's continued fraction formula, Solving quadratic equations with continued fractions, symbols.namesake, Quadratic equation, Euler's formula, symbols, Applied mathematics, Fraction (mathematics), Periodic continued fraction, Constant (mathematics), Mathematics
Abstract

In this paper, we obtain some new continued fraction approximations and inequalities of the Somos' quadratic recurrence constant, using its relation with the generalized Euler's constant.

Published
2015

3. Some new continued fraction approximation of Euler's constant

Author

Lixin Song, Dawei Lu, and Yang Yu

Subjects
symbols.namesake, Sequence, Algebra and Number Theory, Rate of convergence, Convergence (routing), Mathematical analysis, Euler's formula, symbols, Euler's continued fraction formula, Fraction (mathematics), Constant (mathematics), Asymptotic expansion, Mathematics
Abstract

In this paper, using continued fraction, some quicker classes of sequences convergent to Euler's constant are provided. Finally, for demonstrating the superiority of our new convergent sequences over DeTemple's sequence, Vernescu's sequence and Mortici's sequences, some numerical computations are also given.

Published
2015

4. A general asymptotic formula of the gamma function based on the Burnside's formula

Author

Dawei Lu, Congxu Ma, and Jinghai Feng

Subjects
Algebra, Mathematics::Group Theory, Factorial, Algebra and Number Theory, Series (mathematics), Rate of convergence, Computation, Applied mathematics, Asymptotic formula, Fraction (mathematics), Spouge's approximation, Gamma function, Mathematics
Abstract

In this paper, based on the Burnside's formula and our early works, a general continued fraction approximation of the factorial function and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over the Burnside's formula and our early formulas, some numerical computations are given.

Published
2014

5. Some new quicker approximations of Glaisher–Kinkelin's and Bendersky–Adamchik's constants

Author

Cristinel Mortici and Dawei Lu

Subjects
Algebra and Number Theory, Rate of convergence, Polynomial approximations, Approximations of π, Computation, Mathematical analysis, Convergence (routing), Asymptotic expansion, Mathematics
Abstract

In this paper, some new polynomial approximations, inequalities and rates of convergence of Glaisher–Kinkelin's and Bendersky–Adamchik's constants are provided. Finally, for demonstrating the superiority of our new convergent sequences over the classical sequences, some numerical computations are also given.

Published
2014

6. A new asymptotic expansion and some inequalities for the gamma function

Author

Xiaoguang Wang and Dawei Lu

Subjects
Mathematics::Group Theory, Factorial, Algebra and Number Theory, Series (mathematics), Computation, Mathematics::History and Overview, Mathematical analysis, Applied mathematics, Fraction (mathematics), Function (mathematics), Gamma function, Asymptotic expansion, Mathematics
Abstract

In this paper, based on the Burnside formula, an asymptotic expansion of the factorial function and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over the Burnside formula, the classical Stirling series and the Mortici sequences, some numerical computations are given.

Published
2014

7. A generated approximation of the gamma function related to Windschitl's formula

Author

Dawei Lu, Congxu Ma, and Lixin Song

Subjects
Factorial, Algebra and Number Theory, Series (mathematics), Rate of convergence, Computation, Mathematical analysis, Convergence (routing), Applied mathematics, Function (mathematics), Gamma function, Mathematics
Abstract

In this paper, based on Windschitl's formula, a generated approximation of the factorial function and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over Windschitl's formula, Nemes' formula and three Mortici's formulas, some numerical computations are given.

Published
2014

8. A generated approximation related to Burnsideʼs formula

Author

Dawei Lu

Subjects
Reflection formula, symbols.namesake, Liouville's formula, Exponential formula, Algebra and Number Theory, Mathematical analysis, symbols, Euler–Maclaurin formula, Stirling's approximation, Asymptotic formula, Spouge's approximation, Mehler–Heine formula, Mathematics
Abstract

In this paper, based on Burnsideʼs formula, a generated approximation of the factorial function and an inequality for the gamma function are established. Finally, for demonstrating the superiority of our new series over Burnsideʼs formula and the classical Stirlingʼs series, some numerical computations are given.

Published
2014

9. A new quicker sequence convergent to Eulerʼs constant

Author

Dawei Lu

Subjects
Combinatorics, Algebra and Number Theory, Rate of convergence, Computation, Limit of a sequence, Constant (mathematics), Asymptotic expansion, Algorithm, Convergent series, Sequence transformation, Mathematics, Sequence (medicine)
Abstract

In this paper, a new quicker sequence convergent to Eulerʼs constant is provided. Finally, for demonstrating the superiority of our new convergent sequence over DeTempleʼs sequence, Vernescuʼs sequence and Morticiʼs sequences, some numerical computations are also given.

Published
2014

10. Some new quicker approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants.

Author

Dawei Lu and Mortici, Cristinel

Subjects
*POLYNOMIAL approximation, *MATHEMATICAL constants, *STOCHASTIC convergence, *MATHEMATICAL inequalities, *NUMERICAL calculations, *MATHEMATICAL sequences
Abstract

In this paper, some new polynomial approximations, inequalities and rates of convergence of Glaisher-Kinkelin's and Bendersky-Adamchik's constants are provided. Finally, for demonstrating the superiority of our new convergent sequences over the classical sequences, some numerical computations are also given. [ABSTRACT FROM AUTHOR]

Published
2014
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