{"title":"关于高斯奇不等式及其在沃利斯和斯特林公式中的应用的注解","authors":"Martin Lukarevski","doi":"10.2298/PIM150430027L","DOIUrl":null,"url":null,"abstract":"We present novel elementary proofs of Stirling's approximation formula and \n Wallis' product formula, both based on a Gautschi's inequality for the Gamma \n function.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A NOTE ON GAUTSCHI'S INEQUALITY AND APPLICATION TO WALLIS' AND STIRLING'S FORMULA\",\"authors\":\"Martin Lukarevski\",\"doi\":\"10.2298/PIM150430027L\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present novel elementary proofs of Stirling's approximation formula and \\n Wallis' product formula, both based on a Gautschi's inequality for the Gamma \\n function.\",\"PeriodicalId\":416273,\"journal\":{\"name\":\"Publications De L'institut Mathematique\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Publications De L'institut Mathematique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/PIM150430027L\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM150430027L","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A NOTE ON GAUTSCHI'S INEQUALITY AND APPLICATION TO WALLIS' AND STIRLING'S FORMULA
We present novel elementary proofs of Stirling's approximation formula and
Wallis' product formula, both based on a Gautschi's inequality for the Gamma
function.