{"title":"在实轴上具有可变指数的 Lebesgue 空间中的 Fejér 平均值","authors":"Ebru Altiparmak, Ali Güven","doi":"10.25092/baunfbed.1356259","DOIUrl":null,"url":null,"abstract":"Variable exponent Lebesgue spaces are generalizations of classical Lebesgue spaces and have importance in many branches of Mathematical Analysis. Especially, direct and converse theorems and their improvements are studied by many mathematicians in these spaces. In this article, direct and converse predictions for the rate of convergence of Fejér means of functions belonging to the variable Lebesgue space L^p(⋅) (R) are established by using an appropriate K-functional. In this way, the result of Z. Ditzian on Fejér means in classical Lebesgue spaces L^p (R)(1","PeriodicalId":486927,"journal":{"name":"Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi","volume":"60 15","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Reel eksende değişken üslü Lebesgue uzaylarda Fejér ortalamalar\",\"authors\":\"Ebru Altiparmak, Ali Güven\",\"doi\":\"10.25092/baunfbed.1356259\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Variable exponent Lebesgue spaces are generalizations of classical Lebesgue spaces and have importance in many branches of Mathematical Analysis. Especially, direct and converse theorems and their improvements are studied by many mathematicians in these spaces. In this article, direct and converse predictions for the rate of convergence of Fejér means of functions belonging to the variable Lebesgue space L^p(⋅) (R) are established by using an appropriate K-functional. In this way, the result of Z. Ditzian on Fejér means in classical Lebesgue spaces L^p (R)(1\",\"PeriodicalId\":486927,\"journal\":{\"name\":\"Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi\",\"volume\":\"60 15\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi\",\"FirstCategoryId\":\"0\",\"ListUrlMain\":\"https://doi.org/10.25092/baunfbed.1356259\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi","FirstCategoryId":"0","ListUrlMain":"https://doi.org/10.25092/baunfbed.1356259","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Variable exponent Lebesgue spaces are generalizations of classical Lebesgue spaces and have importance in many branches of Mathematical Analysis. Especially, direct and converse theorems and their improvements are studied by many mathematicians in these spaces. In this article, direct and converse predictions for the rate of convergence of Fejér means of functions belonging to the variable Lebesgue space L^p(⋅) (R) are established by using an appropriate K-functional. In this way, the result of Z. Ditzian on Fejér means in classical Lebesgue spaces L^p (R)(1