Pub Date : 2023-10-06DOI: 10.1007/s11117-023-01014-3
Marius-Mihai Birou
Abstract In this note we give representations for the remainder in approximations formulas generated by positive linear operators which preserve some functions including linear functions. We show that in these cases the Peano kernel from the integral representation of the remainder has the same sign on the definition domain. Applications to the iterates of some positive linear operators and quadrature formulas are given.
{"title":"A note on the remainder in the approximation of functions by some positive linear operators","authors":"Marius-Mihai Birou","doi":"10.1007/s11117-023-01014-3","DOIUrl":"https://doi.org/10.1007/s11117-023-01014-3","url":null,"abstract":"Abstract In this note we give representations for the remainder in approximations formulas generated by positive linear operators which preserve some functions including linear functions. We show that in these cases the Peano kernel from the integral representation of the remainder has the same sign on the definition domain. Applications to the iterates of some positive linear operators and quadrature formulas are given.","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135352181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-30DOI: 10.1007/s11117-023-01010-7
Yukiko Iwata
{"title":"Almost everywhere convergence of the iterates of a bi-stochastic Markov operator","authors":"Yukiko Iwata","doi":"10.1007/s11117-023-01010-7","DOIUrl":"https://doi.org/10.1007/s11117-023-01010-7","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136336648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-28DOI: 10.1007/s11117-023-01012-5
Bo Xiang, Jin Xi Chen, Lei Li
{"title":"Disjointly weak compactness in Banach lattices","authors":"Bo Xiang, Jin Xi Chen, Lei Li","doi":"10.1007/s11117-023-01012-5","DOIUrl":"https://doi.org/10.1007/s11117-023-01012-5","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135386375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-26DOI: 10.1007/s11117-023-01006-3
Phuong Le
{"title":"Strong comparison and strong maximum principles for quasilinear elliptic equations with a gradient term","authors":"Phuong Le","doi":"10.1007/s11117-023-01006-3","DOIUrl":"https://doi.org/10.1007/s11117-023-01006-3","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83083740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-24DOI: 10.1007/s11117-023-01007-2
J. Harjani, B. López, K. Sadarangani
{"title":"On the solvability of a cantilever-type boundary value problem by using the mixed monotone operator","authors":"J. Harjani, B. López, K. Sadarangani","doi":"10.1007/s11117-023-01007-2","DOIUrl":"https://doi.org/10.1007/s11117-023-01007-2","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81974777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-08DOI: 10.1007/s11117-023-01004-5
Mu’afa Purwa Arsana, Reinhart Gunadi, D. Hakim, Y. Sawano
{"title":"On the convergence of Kantorovich operators in Morrey spaces","authors":"Mu’afa Purwa Arsana, Reinhart Gunadi, D. Hakim, Y. Sawano","doi":"10.1007/s11117-023-01004-5","DOIUrl":"https://doi.org/10.1007/s11117-023-01004-5","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75782771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-27DOI: 10.1007/s11117-023-00998-2
P. Q. Khanh, L. Tung
{"title":"On optimality conditions and duality for multiobjective optimization with equilibrium constraints","authors":"P. Q. Khanh, L. Tung","doi":"10.1007/s11117-023-00998-2","DOIUrl":"https://doi.org/10.1007/s11117-023-00998-2","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81766992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-21DOI: 10.1007/s11117-023-01001-8
P. Q. Khanh, L. Tung
{"title":"On optimality conditions and duality for multiobjective optimization with equilibrium constraints","authors":"P. Q. Khanh, L. Tung","doi":"10.1007/s11117-023-01001-8","DOIUrl":"https://doi.org/10.1007/s11117-023-01001-8","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82781487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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