Ioan Cristian Buşcu, Gabriela Motronea, Vlad Paşca
{"title":"Modified positive linear operators, iterates and systems of linear equations","authors":"Ioan Cristian Buşcu, Gabriela Motronea, Vlad Paşca","doi":"10.3934/mfc.2023031","DOIUrl":"https://doi.org/10.3934/mfc.2023031","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220793","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}
Mingjie Wang, Juxiang Zhou, Jun Wang, Jianhou Gan, Zijie Li
{"title":"A knowledge representation learning model based on relation rotation in two-dimensional Minkowski space","authors":"Mingjie Wang, Juxiang Zhou, Jun Wang, Jianhou Gan, Zijie Li","doi":"10.3934/mfc.2023020","DOIUrl":"https://doi.org/10.3934/mfc.2023020","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220203","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":"Asymptotically deferred statistical equivalent functions of order $ alpha $ in amenable semigroups","authors":"M. Et, H. Dutta, N. Braha","doi":"10.3934/mfc.2023018","DOIUrl":"https://doi.org/10.3934/mfc.2023018","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220518","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":"Generalised subclasses of meromorphically $ q $-starlike function using the Janowski functions","authors":"Abdullah Alatawi, M. Darus, S. Sivasubramanian","doi":"10.3934/mfc.2023021","DOIUrl":"https://doi.org/10.3934/mfc.2023021","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220700","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":"Approximation properties of Riemann-Liouville type fractional Bernstein-Kantorovich operators of order $ alpha $","authors":"Erdem Baytunç, Hüseyin Aktuğlu, N. Mahmudov","doi":"10.3934/mfc.2023030","DOIUrl":"https://doi.org/10.3934/mfc.2023030","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Direct and converse theorems for King type operators","authors":"Z. Finta","doi":"10.3934/mfc.2022015","DOIUrl":"https://doi.org/10.3934/mfc.2022015","url":null,"abstract":"<p style='text-indent:20px;'>For a sequence of King type operators which preserve the functions <inline-formula><tex-math id=\"M1\">begin{document}$ e_0(x)=1 $end{document}</tex-math></inline-formula> and <inline-formula><tex-math id=\"M2\">begin{document}$ e_j(x)=x^j $end{document}</tex-math></inline-formula>, we establish a direct approximation theorem via the first order Ditzian-Totik modulus of smoothness, and a converse result of Berens-Lorentz type.</p>","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"221 1","pages":"379-387"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79873385","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":"Integral modification of Beta-Apostol-Genocchi operators","authors":"N. Bhardwaj, N. Deo","doi":"10.3934/mfc.2022039","DOIUrl":"https://doi.org/10.3934/mfc.2022039","url":null,"abstract":"We propose certain Durrmeyer-type operators for Apostol-Genocchi polynomials in this research. We explore these operators' approximation attributes and measure the rate of convergence. In addition, we present a direct approximation theorem based on first and second-order modulus of continuity, local approximation findings for Lipschitz class functions and a direct theorem based on the typical modulus of continuity. Finally, we showed a graph illustrating the convergence of the suggested operators and an error table.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"88 1","pages":"474-483"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83533119","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":"Approximation of functions and Mihesan operators","authors":"J. Bustamante","doi":"10.3934/mfc.2022033","DOIUrl":"https://doi.org/10.3934/mfc.2022033","url":null,"abstract":"<p style='text-indent:20px;'>For real numbers <inline-formula><tex-math id=\"M1\">begin{document}$ a,qgeq 0 $end{document}</tex-math></inline-formula> and a weight <inline-formula><tex-math id=\"M2\">begin{document}$ varrho(x) = 1/(1+x)^q $end{document}</tex-math></inline-formula>, the author provides necessary and sufficient conditions for a function <inline-formula><tex-math id=\"M3\">begin{document}$ fin C[0,infty) $end{document}</tex-math></inline-formula> in order to <inline-formula><tex-math id=\"M4\">begin{document}$ sup_{xgeq 0}mid varrho(x)(B_n^a(f,x)-f(x))mid to 0 $end{document}</tex-math></inline-formula> as <inline-formula><tex-math id=\"M5\">begin{document}$ nto infty $end{document}</tex-math></inline-formula>, where <inline-formula><tex-math id=\"M6\">begin{document}$ B_n^a(f) $end{document}</tex-math></inline-formula> is the Mihesan operator. In particular, it is proved that Mihesan operators behave similar to the classical Baskakov operators.</p>","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"19 1","pages":"369-378"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78014088","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}