{"title":"用欧拉-布尔交替求和求Wallis比值的简单精确平衡渐近逼近","authors":"V. Lampret","doi":"10.7153/mia-2021-24-61","DOIUrl":null,"url":null,"abstract":". For integers m (cid:2) 1 and q (cid:2) 2, the Wallis ratio m : = m ∏ k = 1 2 k − is estimated as Some accurate asymptotic estimates of π in terms of w m are also given.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Simple accurate balanced asymptotic approximation of Wallis' ratio using Euler-Boole alternating summation\",\"authors\":\"V. Lampret\",\"doi\":\"10.7153/mia-2021-24-61\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". For integers m (cid:2) 1 and q (cid:2) 2, the Wallis ratio m : = m ∏ k = 1 2 k − is estimated as Some accurate asymptotic estimates of π in terms of w m are also given.\",\"PeriodicalId\":49868,\"journal\":{\"name\":\"Mathematical Inequalities & Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Inequalities & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/mia-2021-24-61\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Inequalities & Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/mia-2021-24-61","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Simple accurate balanced asymptotic approximation of Wallis' ratio using Euler-Boole alternating summation
. For integers m (cid:2) 1 and q (cid:2) 2, the Wallis ratio m : = m ∏ k = 1 2 k − is estimated as Some accurate asymptotic estimates of π in terms of w m are also given.
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''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.
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