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1
A new factor theorem on absolute matrix summability method
Yıldız Şebnem
Journal of Applied Analysis
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2022
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Vol. 28, nr 1
83--89
EN
In this paper, we have a new matrix generalization with absolute matrix summability factor of an infinite series by using quasi-β-power increasing sequences. That theorem also includes some new and known results dealing with some basic summability methods.
2
Content available remote Improved numerical inverse Laplace transformation to improve the accuracy of type curve for analyzing well testing data
Kim Song Chol, Song Yong Il, Han Chol Gwang
Acta Geophysica
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2021
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Vol. 69, no. 3
919--930
EN
Analyzing well-testing data by the type-curve matching is a modern well-testing analysis method and is widely used in the petroleum and gas industry. By improving accuracy of type curve, we can get more accurate results from analyzing welltesting data, which provide a scientifc base for development of oil, gas and water resources. By solving percolation equations, we can obtain type curves. The Laplace transformation methods are often used to solve them. In this paper, we improve the accuracy of type curve by improving the numerical inverse Laplace transformation (NILT) based on infinite series. We combine the NILT based on infinite series with Levin convergence acceleration and determine necessary parameters through numerical experiments to improve accuracy and speed. To verify this method, we compare the improved method with the Stehfest method using some functions such as trigonometric function. Type curves for analysis of well-testing data for the homogeneous reservoir with elastic outer boundary and a dual porosity reservoir are plotted and compared by using the improved numerical inversion and the Stehfest numerical inversion, respectively. These results show that type curves plotted by the improved method are less in vibration and fuctuation than ones plotted by the Stehfest method.
3
Content available remote A note on summability factors of infinite series
Sulaiman W.T.
Fasciculi Mathematici
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2011
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Nr 47
117--125
EN
Necessary and sucient conditions are obtained for Σanλn to be |N,p,q|k - summable, k ≥ 1, whenever Σan is (N, p, q) - bounded.
4
Content available remote Associative Omega-products of Traces
Redziejowski R. R.
Fundamenta Informaticae
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2005
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Vol. 67, nr 1-3
175--185
EN
The notion of associative infinite product is applied to traces, resulting in an alternative approach to introducing infinite traces. Four different versions of product are explored, two of them identical to known definitions of infinite trace.
5
Content available remote A note almost increasing sequences
Bor H., Seyhan H.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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1999
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[Z] 39
37-42
EN
In this paper by using an almost increasig sequence a general theorem on [fi] - |C,a|k summability factors, which generalizes a result of Bor on |C,a,b|k summability factors, has been proved under weaker conditions.
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