Solving linear Fredholm-Stieltjes integral equations of the second kind by using the generalized Simpson’s rule by A. Asanov, S. Yanık

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Downlink outage probability analysis of distributed MIMO systems over a composite fading channel by Wen-jie PENG, Yue-heng LI, Mei-yan JU, Ping HUANG, Guo-ping TAN

“…Next, an approxi-mate analytical expression of average downlink outage probability of the system with arbitrary MS distribution was de-rived through using mathematical methods such as moment generating function, Gauss-Hermite integral, composite Simpson's rule and so on. Finally, by taking the proposed MS distribution model into account, the derived closed-form outage probability expression and the MS distribution were proved to be correct and reasonable by computer simulation results.…”
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A New Multivariable Grey Convolution Model Based on Simpson’s Rule and Its Applications by Song Ding, Ruojin Li

“…In order to eliminate the drawbacks, a new optimized GMC (1, n), shorted for OGMC (1, n), is proposed, whose background values are calculated based on Simpson’ rule that is able to efficiently approximate the integration of a function. …”
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A new approach to error inequalities: From Euler-Maclaurin bounds to cubically convergent algorithm by Miguel Vivas-Cortez, Usama Asif, Muhammad Zakria Javed, Muhammad Uzair Awan, Yahya Almalki, Omar Mutab Alsalami

“…In this paper, we aimed to investigate the error inequality of the open method, known as Euler-Maclaurin's inequality, which is similar to Simpson's rule. We intended to explore some novel Maclaurin-like inequalities involving functions having convexity properties. …”
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