{"title":"余弦和正弦函数的恒等式和不等式","authors":"I. Pinelis","doi":"10.7153/mia-2020-23-62","DOIUrl":null,"url":null,"abstract":"Identities and inequalities for the cosine and sine functions are obtained. 1. STATEMENTS AND DISCUSSION The basic result of this note is Theorem 1.1. For any real x (1.1) cosπx = ∞ ∑ j=1 t jπ j(1/4− x2) j,","PeriodicalId":8451,"journal":{"name":"arXiv: Classical Analysis and ODEs","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Identities and inequalities for the cosine and sine functions\",\"authors\":\"I. Pinelis\",\"doi\":\"10.7153/mia-2020-23-62\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Identities and inequalities for the cosine and sine functions are obtained. 1. STATEMENTS AND DISCUSSION The basic result of this note is Theorem 1.1. For any real x (1.1) cosπx = ∞ ∑ j=1 t jπ j(1/4− x2) j,\",\"PeriodicalId\":8451,\"journal\":{\"name\":\"arXiv: Classical Analysis and ODEs\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Classical Analysis and ODEs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/mia-2020-23-62\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/mia-2020-23-62","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
得到了余弦函数和正弦函数的恒等式和不等式。1. 陈述与讨论本笔记的基本结果是定理1.1。对于任意实数x (1.1) cosπx =∞∑j=1 t jπ j(1/4−x2) j，
Identities and inequalities for the cosine and sine functions
Identities and inequalities for the cosine and sine functions are obtained. 1. STATEMENTS AND DISCUSSION The basic result of this note is Theorem 1.1. For any real x (1.1) cosπx = ∞ ∑ j=1 t jπ j(1/4− x2) j,
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