A generalization of Bertrand's test

Subject Areas : Approximations and expansions

A. A. Tabatabai Adnani ¹ (Islamic Azad University, Central Tehran Branch, Tehran, Iran)
A. Reza ² (Islamic Azad University, Central Tehran Branch, Tehran, Iran)
M. Morovati ³ (School of Automotive Engineering, Iran University of Science and Technology, Tehran, Iran)

Received: 2013-01-01 Accepted : 2013-01-01 Published : 2013-09-01

Keywords:

References:

[1] J. M. H. Olmsted, Advanced Calculus, Prentice Hall. (1961).

[2] J. Wen, T. Han, C. Gao, Convergence tests on constant Dirichlet series, Computers and Mathematics with Applications. 62 (2011) 3472-3489. 

[3] J. S. Chen, C. W. Liu, C. M. Liao, Two-dimensional Laplace-transformed power series solution for solute transport in a radially convergent flow field, Advances in Water Resources. 26 (2003) 1113-1124.

[4] P. Wonzy, Efficient algorithm for summation of some slowly convergent series, Applied Numerical Mathematics. 60 (2010) 1442-1453.

[5] E. Liflyand, S. Tikhonov, M. Zeltser, Extending tests for convergence of number series, Journal of Mathematical Analysis and Applications. 377 (2011) 194-206.

[6] A. Bartoszewicz, S. Glab, T. Poreda, On algebrability of nonabsolutely convergent series, Linear Algebra and its Applications. 435 (2011) 1025-1028.

[7] F. Moricz, A Quantitative Version of the Dirichlet-Jordan Test for Double Fourier Series, Journal of Approximation Theory. 71(1992) 344-358.