{"title":"傅里叶级数的Riesz可和因子","authors":"Şebnem Yildiz","doi":"10.1016/j.trmi.2017.06.003","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, a main theorem dealing with <span><math><mo>|</mo><mover><mrow><mi>N</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>,</mo><msub><mrow><mi>p</mi></mrow><mrow><mi>n</mi></mrow></msub><msub><mrow><mo>|</mo></mrow><mrow><mi>k</mi></mrow></msub></math></span> summability method has been generalized for <span><math><mi>φ</mi><mo>−</mo><mo>|</mo><mover><mrow><mi>N</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>,</mo><msub><mrow><mi>p</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>;</mo><mi>δ</mi><msub><mrow><mo>|</mo></mrow><mrow><mi>k</mi></mrow></msub></math></span> summability by using different and general summability factors of Fourier series.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 3","pages":"Pages 328-331"},"PeriodicalIF":0.3000,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.06.003","citationCount":"9","resultStr":"{\"title\":\"On Riesz summability factors of Fourier series\",\"authors\":\"Şebnem Yildiz\",\"doi\":\"10.1016/j.trmi.2017.06.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, a main theorem dealing with <span><math><mo>|</mo><mover><mrow><mi>N</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>,</mo><msub><mrow><mi>p</mi></mrow><mrow><mi>n</mi></mrow></msub><msub><mrow><mo>|</mo></mrow><mrow><mi>k</mi></mrow></msub></math></span> summability method has been generalized for <span><math><mi>φ</mi><mo>−</mo><mo>|</mo><mover><mrow><mi>N</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>,</mo><msub><mrow><mi>p</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>;</mo><mi>δ</mi><msub><mrow><mo>|</mo></mrow><mrow><mi>k</mi></mrow></msub></math></span> summability by using different and general summability factors of Fourier series.</p></div>\",\"PeriodicalId\":43623,\"journal\":{\"name\":\"Transactions of A Razmadze Mathematical Institute\",\"volume\":\"171 3\",\"pages\":\"Pages 328-331\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2017-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.trmi.2017.06.003\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of A Razmadze Mathematical Institute\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2346809217300181\",\"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":"Transactions of A Razmadze Mathematical Institute","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2346809217300181","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, a main theorem dealing with summability method has been generalized for summability by using different and general summability factors of Fourier series.