S. K. Al-Saidy, Hasan W. Maktoof, A. K. O. Mazeel, Baba Galadima Agaie
{"title":"On Best Multiplier Approximation of k-Monotone by Trigonometric Polynomial","authors":"S. K. Al-Saidy, Hasan W. Maktoof, A. K. O. Mazeel, Baba Galadima Agaie","doi":"10.23851/mjs.v35i1.1448","DOIUrl":null,"url":null,"abstract":"The main goal of this paper is to study the degree of the best multiplier approximation of monotone unbounded functions in L_(p,λ_n)-space on the closed interval [-π,π] by means of K-functional, which we represented with, K(f,L_(p,λ_n ),W_(p,λ_n)^1,W ̃_(p,λ_n)^1), defined by the W_(p,λ_n)^1 and W ̃_(p,λ_n)^1 that are referred to during this research. In addition, we have established a set of definitions, concepts and some useful lemmas that are needed in our work.","PeriodicalId":7867,"journal":{"name":"Al-Mustansiriyah Journal of Science","volume":"33 24","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Mustansiriyah Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23851/mjs.v35i1.1448","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The main goal of this paper is to study the degree of the best multiplier approximation of monotone unbounded functions in L_(p,λ_n)-space on the closed interval [-π,π] by means of K-functional, which we represented with, K(f,L_(p,λ_n ),W_(p,λ_n)^1,W ̃_(p,λ_n)^1), defined by the W_(p,λ_n)^1 and W ̃_(p,λ_n)^1 that are referred to during this research. In addition, we have established a set of definitions, concepts and some useful lemmas that are needed in our work.