{"title":"CONES OF MONOTONE FUNCTIONS GENERATED BY A GENERALIZED FRACTIONAL MAXIMAL FUNCTION","authors":"N. Bokayev, Amiran Gogatishvili, Azhan N. abek","doi":"10.30546/2219-1259.15.1.2024.2487","DOIUrl":"https://doi.org/10.30546/2219-1259.15.1.2024.2487","url":null,"abstract":"In this paper, we consider the generalized fractional maximal function and use it to introduce the space of generalized fractional maximal functions and the various cones of monotone functions generated by generalized fractional maximal functions $M_Phi f$. We introduced three function classes. We give equivalent descriptions of such cones when the function $Phi$ belongs to some function classes. The conditions for their mutual covering are given. Then, these cones are used to construct a criterion for embedding the space of generalized fractional maximal functions into the rearrangement invariant spaces (RIS). The optimal RIS for such embedding is also described.","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"103 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141272248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"CONTINUATION OF R−ANALYTIC FUNCTIONS ALONG PARALLEL LINES","authors":"","doi":"10.30546/2219-1259.14.1.2023.120","DOIUrl":"https://doi.org/10.30546/2219-1259.14.1.2023.120","url":null,"abstract":"","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129700769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON THE COMPLEXITY OF THE BANDPASS PROBLEM","authors":"","doi":"10.30546/2219-1259.14.1.2023.41","DOIUrl":"https://doi.org/10.30546/2219-1259.14.1.2023.41","url":null,"abstract":"","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132916540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A DYNAMIC PACKING APPROACH FOR INTERNET-OF-THINGS AND LOGISTICS APPLICATIONS","authors":"","doi":"10.30546/2219-1259.14.1.2023.69","DOIUrl":"https://doi.org/10.30546/2219-1259.14.1.2023.69","url":null,"abstract":"","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134349087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON SELF-ADJOINT EXTENSIONS OF SYMMETRIC OPERATOR WITH EXIT TO LARGER SPACE","authors":"","doi":"10.30546/2219-1259.14.1.2023.91","DOIUrl":"https://doi.org/10.30546/2219-1259.14.1.2023.91","url":null,"abstract":"","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131555375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"STABILITY FEATURES OF THE DYNAMICAL SYSTEM EMERGING IN THE MODEL OF THE CANCER GROWTH","authors":"","doi":"10.30546/2219-1259.14.1.2023.23","DOIUrl":"https://doi.org/10.30546/2219-1259.14.1.2023.23","url":null,"abstract":"","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125352328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON SOME NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FRACTIONAL BROWNIAN MOTION AND POISSON JUMPS","authors":"","doi":"10.30546/2219-1259.14.1.2023.125","DOIUrl":"https://doi.org/10.30546/2219-1259.14.1.2023.125","url":null,"abstract":"","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"137 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123390869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON DEFERRED f-STATISTICAL BOUNDEDNESS","authors":"","doi":"10.30546/2219-1259.14.1.2023.106","DOIUrl":"https://doi.org/10.30546/2219-1259.14.1.2023.106","url":null,"abstract":"","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121368226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"AN ALGORITHMIC APPROACH TO RUNGE-KUTTA-NYSTROM PAIRS","authors":"","doi":"10.30546/2219-1259.14.1.2023.3","DOIUrl":"https://doi.org/10.30546/2219-1259.14.1.2023.3","url":null,"abstract":"","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125346515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"CERTAIN MATRICES AND ENERGIES OF FUZZY GRAPHS","authors":"","doi":"10.30546/2219-1259.14.1.2023.50","DOIUrl":"https://doi.org/10.30546/2219-1259.14.1.2023.50","url":null,"abstract":"","PeriodicalId":447748,"journal":{"name":"Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124098880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}