{"title":"关于小波展开的收敛速度","authors":"Varsha Karanjgaokar","doi":"10.18311/JIMS/2018/14929","DOIUrl":null,"url":null,"abstract":"In this paper we estimate the rate of convergence of wavelet expansion of functions f ∈ L p , 1 ≤ p ≤ ∞ at a point x. The pointwise and L p results were obtained by Kelly, S. [4]. Our result generalizes her result.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"100-110"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Rate of Convergence of Wavelet Expansions\",\"authors\":\"Varsha Karanjgaokar\",\"doi\":\"10.18311/JIMS/2018/14929\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we estimate the rate of convergence of wavelet expansion of functions f ∈ L p , 1 ≤ p ≤ ∞ at a point x. The pointwise and L p results were obtained by Kelly, S. [4]. Our result generalizes her result.\",\"PeriodicalId\":38246,\"journal\":{\"name\":\"Journal of the Indian Mathematical Society\",\"volume\":\"85 1\",\"pages\":\"100-110\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-01-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Indian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18311/JIMS/2018/14929\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Indian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18311/JIMS/2018/14929","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
In this paper we estimate the rate of convergence of wavelet expansion of functions f ∈ L p , 1 ≤ p ≤ ∞ at a point x. The pointwise and L p results were obtained by Kelly, S. [4]. Our result generalizes her result.
期刊介绍:
The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.