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Mathematical foundations of computing最新文献

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Direct and converse theorems for King type operators King类型算子的正逆定理
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022015
Z. Finta
{"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}
引用次数: 1
Behavior in $ L^infty $ of convolution transforms with dilated kernels 膨胀核卷积变换在$ L^infty $中的行为
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022005
W. Madych
{"title":"Behavior in $ L^infty $ of convolution transforms with dilated kernels","authors":"W. Madych","doi":"10.3934/mfc.2022005","DOIUrl":"https://doi.org/10.3934/mfc.2022005","url":null,"abstract":"<p style='text-indent:20px;'>Assuming that <inline-formula><tex-math id=\"M1\">begin{document}$ K(x) $end{document}</tex-math></inline-formula> is in <inline-formula><tex-math id=\"M2\">begin{document}$ L^1( {mathbb R}) $end{document}</tex-math></inline-formula>, <inline-formula><tex-math id=\"M3\">begin{document}$ K_t(x) = t^{-1} K(x/t) $end{document}</tex-math></inline-formula>, and <inline-formula><tex-math id=\"M4\">begin{document}$ f(x) $end{document}</tex-math></inline-formula> is in <inline-formula><tex-math id=\"M5\">begin{document}$ L^infty( {mathbb R}) $end{document}</tex-math></inline-formula>, we study the behavior of the convolution <inline-formula><tex-math id=\"M6\">begin{document}$ K_t*f(x) $end{document}</tex-math></inline-formula> as the parameter <inline-formula><tex-math id=\"M7\">begin{document}$ t $end{document}</tex-math></inline-formula> tends to <inline-formula><tex-math id=\"M8\">begin{document}$ infty $end{document}</tex-math></inline-formula>. It turns out that the limit need not exist and, if it does exist, the limit is a constant independent of <inline-formula><tex-math id=\"M9\">begin{document}$ x $end{document}</tex-math></inline-formula>. Situations where the limit exists and those where it fails to exist are identified. Several issues related to this are addressed, including the multivariate case. As one application, these results provide an accessible description of the behavior of bounded solutions to the initial value problem for the heat equation.</p>","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"44 1","pages":"94-107"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86246487","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}
引用次数: 0
A knowledge representation learning model based on relation rotation in two-dimensional Minkowski space 二维Minkowski空间中基于关系旋转的知识表示学习模型
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023020
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}
引用次数: 0
Asymptotically deferred statistical equivalent functions of order $ alpha $ in amenable semigroups 可服从半群中阶$ α $的渐近延迟统计等价函数
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023018
M. Et, H. Dutta, N. Braha
{"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}
引用次数: 0
On interval-valued vector variational-like inequalities and vector optimization problems with generalized approximate invexity via convexificators 区间值向量类变分不等式及通过凸化算子的广义近似指数向量优化问题
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023036
R. K. Bhardwaj, Tirth Ram
{"title":"On interval-valued vector variational-like inequalities and vector optimization problems with generalized approximate invexity via convexificators","authors":"R. K. Bhardwaj, Tirth Ram","doi":"10.3934/mfc.2023036","DOIUrl":"https://doi.org/10.3934/mfc.2023036","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":"70220685","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}
引用次数: 0
Generalised subclasses of meromorphically $ q $-starlike function using the Janowski functions 基于Janowski函数的亚纯$ q $-星形函数的广义子类
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023021
Abdullah Alatawi, M. Darus, S. Sivasubramanian
{"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}
引用次数: 0
Approximation properties of Riemann-Liouville type fractional Bernstein-Kantorovich operators of order $ alpha $ 阶$ alpha $的Riemann-Liouville型分数阶Bernstein-Kantorovich算子的近似性质
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023030
Erdem Baytunç, Hüseyin Aktuğlu, N. Mahmudov
{"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}
引用次数: 0
Modified positive linear operators, iterates and systems of linear equations 修正的正线性算子，迭代和线性方程组
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023031
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}
引用次数: 0
Adversarial subdomain adaptation method based on multi-scale features for bearing fault diagnosis 基于多尺度特征的对抗性子域自适应轴承故障诊断方法
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023024
Yuguo Zhou, Zhao Jin, Zhikai Zhang, Zengrong Geng, Lijian Zhou
{"title":"Adversarial subdomain adaptation method based on multi-scale features for bearing fault diagnosis","authors":"Yuguo Zhou, Zhao Jin, Zhikai Zhang, Zengrong Geng, Lijian Zhou","doi":"10.3934/mfc.2023024","DOIUrl":"https://doi.org/10.3934/mfc.2023024","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":"70220934","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}
引用次数: 0
Approximation of functions and Mihesan operators 函数逼近与Mihesan算子
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022033
J. Bustamante
{"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}
引用次数: 4
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