{"title":"求解有限长度指数傅里叶级数的四次方积分","authors":"Hesham Sharkas","doi":"10.47000/tjmcs.1217379","DOIUrl":null,"url":null,"abstract":"For a periodic function in the form of a finite-length exponential Fourier series (i.e., a discrete finite Fourier transform), this work derives an analytical solution to the definite integral of the fourth power of the function across its periodic interval.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"99 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series\",\"authors\":\"Hesham Sharkas\",\"doi\":\"10.47000/tjmcs.1217379\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a periodic function in the form of a finite-length exponential Fourier series (i.e., a discrete finite Fourier transform), this work derives an analytical solution to the definite integral of the fourth power of the function across its periodic interval.\",\"PeriodicalId\":177259,\"journal\":{\"name\":\"Turkish Journal of Mathematics and Computer Science\",\"volume\":\"99 \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Turkish Journal of Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47000/tjmcs.1217379\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47000/tjmcs.1217379","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series
For a periodic function in the form of a finite-length exponential Fourier series (i.e., a discrete finite Fourier transform), this work derives an analytical solution to the definite integral of the fourth power of the function across its periodic interval.