A Simplified Integral Test for the Convergence of Infinite Series

1931 ◽  
Vol 38 (4) ◽  
pp. 205-208 ◽  
Author(s):  
Raymond W. Brink
Keyword(s):  
Infinite Series ◽  
Integral Test

scholarly journals Approximating the Sum of Infinite Series of Non Negative Terms with reference to Integral Test

2020 ◽  
Vol 37 (1-2) ◽  
pp. 63-70
Author(s):  
Daya Ram Paudyal
Keyword(s):  
Infinite Series ◽  
Historical Background ◽  
Integral Test ◽  
Improper Integrals ◽  
The Given

This paper describes a method of obtaining approximate sum of infinite series of positive terms by using integrals under its historical background. It has shown the application of improper integrals to determine whether the given innate series is convergent or divergent. Here, the limits of the integrals and the series usually extend to infinity though they may be slowly convergent. We have also established a relation to approximate the sum of infinite series of positive terms with a suitable example.

Scaling analysis of core pressure drop in reduced height integral test facility

Kerntechnik ◽  
2018 ◽  
Vol 83 (3) ◽  
pp. 178-180
Author(s):  
P. Ju ◽  
B. Long ◽  
L. Li ◽  
Q. Su ◽  
X. Wu ◽  
...  
Keyword(s):  
Pressure Drop ◽  
Test Facility ◽  
Scaling Analysis ◽  
Integral Test ◽  
Reduced Height

A new application of quasi monotone sequences and quasi power increasing sequences to factored infinite series

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5105-5109
Author(s):  
Hüseyin Bor
Keyword(s):  
Infinite Series ◽  
Summability Factors ◽  
Monotone Sequences ◽  
Power Increasing Sequences ◽  
Weaker Conditions ◽  
Increasing Sequences

In this paper, we generalize a known theorem under more weaker conditions dealing with the generalized absolute Ces?ro summability factors of infinite series by using quasi monotone sequences and quasi power increasing sequences. This theorem also includes some new results.

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