{"title":"傅里叶级数乘积可和性对加权W(Lr， ξ(t))类函数的逼近度的研究","authors":"K. Sharma, S. Malik","doi":"10.1063/1.5122607","DOIUrl":null,"url":null,"abstract":"In the present paper, a known theorem of Nigam and Sharma (2011) dealing with the degree of approximation of a function belonging to Lip(ξ(t),r)-class by (N, p, q)(E,1) product summability of Fourier series has been generalized for the weighted W(Lr, ξ(t)) -class. Our result is in more general form of the theorem of Nigam and Sharma (2011).In the present paper, a known theorem of Nigam and Sharma (2011) dealing with the degree of approximation of a function belonging to Lip(ξ(t),r)-class by (N, p, q)(E,1) product summability of Fourier series has been generalized for the weighted W(Lr, ξ(t)) -class. Our result is in more general form of the theorem of Nigam and Sharma (2011).","PeriodicalId":7262,"journal":{"name":"ADVANCES IN BASIC SCIENCE (ICABS 2019)","volume":"60 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A study on degree of approximation of a function belonging to weighted W(Lr, ξ(t)) class by product summability of Fourier series\",\"authors\":\"K. Sharma, S. Malik\",\"doi\":\"10.1063/1.5122607\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper, a known theorem of Nigam and Sharma (2011) dealing with the degree of approximation of a function belonging to Lip(ξ(t),r)-class by (N, p, q)(E,1) product summability of Fourier series has been generalized for the weighted W(Lr, ξ(t)) -class. Our result is in more general form of the theorem of Nigam and Sharma (2011).In the present paper, a known theorem of Nigam and Sharma (2011) dealing with the degree of approximation of a function belonging to Lip(ξ(t),r)-class by (N, p, q)(E,1) product summability of Fourier series has been generalized for the weighted W(Lr, ξ(t)) -class. Our result is in more general form of the theorem of Nigam and Sharma (2011).\",\"PeriodicalId\":7262,\"journal\":{\"name\":\"ADVANCES IN BASIC SCIENCE (ICABS 2019)\",\"volume\":\"60 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ADVANCES IN BASIC SCIENCE (ICABS 2019)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/1.5122607\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ADVANCES IN BASIC SCIENCE (ICABS 2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5122607","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A study on degree of approximation of a function belonging to weighted W(Lr, ξ(t)) class by product summability of Fourier series
In the present paper, a known theorem of Nigam and Sharma (2011) dealing with the degree of approximation of a function belonging to Lip(ξ(t),r)-class by (N, p, q)(E,1) product summability of Fourier series has been generalized for the weighted W(Lr, ξ(t)) -class. Our result is in more general form of the theorem of Nigam and Sharma (2011).In the present paper, a known theorem of Nigam and Sharma (2011) dealing with the degree of approximation of a function belonging to Lip(ξ(t),r)-class by (N, p, q)(E,1) product summability of Fourier series has been generalized for the weighted W(Lr, ξ(t)) -class. Our result is in more general form of the theorem of Nigam and Sharma (2011).
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