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Linear combinations of two Bernstein polynomials 两个Bernstein多项式的线性组合
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022061
G. Tachev
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引用次数: 0
Some new inequalities and numerical results of bivariate Bernstein-type operator including Bézier basis and its GBS operator 双变量bernstein型算子的一些新的不等式和数值结果，包括bsamizier基及其GBS算子
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022045
E. Özkan, Nesibe Nur Akpınar
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引用次数: 1
Preface: Special issue on approximation by linear and nonlinear operators with applications. Part III 前言:关于线性和非线性算子的近似及其应用的专题问题。第三部分
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022052
D. Costarelli
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引用次数: 0
Attention-based destruction and construction learning for infrared object fine-grained categorization 基于注意的红外目标细粒度分类破坏与构建学习
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2022046
Hao-xin Cui, Ran Li, Yan Li, L. Zhang, Bingyang Li
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引用次数: 0
Asymptotic properties of Kantorovich-type Szász-Mirakjan operators of higher order 高阶kantorovich型Szász-Mirakjan算子的渐近性质
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023003
U. Abel, O. Agratini, M. Ivan
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引用次数: 1
On the density of translation networks defined on the unit ball 在单位球上定义的平移网络密度
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023017
Xiaojun Sun, B. Sheng, Lin Liu, X. Pan
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引用次数: 0
Volterra-Fredholm-type integral inequalities for generalized conformable fractional integrals 广义可适分数阶积分的volterra - fredholm型积分不等式
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023011
Xiaoyue Han, R. Xu
{"title":"Volterra-Fredholm-type integral inequalities for generalized conformable fractional integrals","authors":"Xiaoyue Han, R. Xu","doi":"10.3934/mfc.2023011","DOIUrl":"https://doi.org/10.3934/mfc.2023011","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70220608","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
Existence results for some $ psi $-Hilfer iterative approximation 一类$ psi $-Hilfer迭代近似的存在性结果
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023029
S. Horrigue, Hanan Almuashi, Aishah Abdullah Alnashry
{"title":"Existence results for some $ psi $-Hilfer iterative approximation","authors":"S. Horrigue, Hanan Almuashi, Aishah Abdullah Alnashry","doi":"10.3934/mfc.2023029","DOIUrl":"https://doi.org/10.3934/mfc.2023029","url":null,"abstract":"","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70221095","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
Distributionally robust sparse portfolio optimization model under satisfaction criterion 满足准则下的分布鲁棒稀疏投资组合优化模型
Mathematical foundations of computing Pub Date : 2023-01-01 DOI: 10.3934/mfc.2023043
Zhongyan Wang, Xiaodong Zhu, Shaojian Qu, M. Faisal Nadeem, Beibei Zhang
{"title":"Distributionally robust sparse portfolio optimization model under satisfaction criterion","authors":"Zhongyan Wang, Xiaodong Zhu, Shaojian Qu, M. Faisal Nadeem, Beibei Zhang","doi":"10.3934/mfc.2023043","DOIUrl":"https://doi.org/10.3934/mfc.2023043","url":null,"abstract":"We propose a distributionally robust portfolio optimization model with cardinality constraints under the satisfaction criterion. We aim to maximize the probability of achieving the target return of the proposed portfolio selection model while the number of assets the investors hold is limited. For practical significance, we cite a measure of shortfall-aware aspiration level to the portfolio optimization problem and convert it into a CVaR measure. In our model, we consider a worst-case and assume the distribution of returns of assets is ambiguous. We reformulate the CVaR-based measure equivalently to semi-definite programming for its tractability. A Benders' decomposition algorithm is designed to solve the proposed model efficiently. Numerical tests are utilized through actual market data to validate the proposed method. The results indicate that our algorithm can effectively solve the proposed model, and the sparse portfolio selection model under the satisfaction criterion achieves high robustness and perform better than classical models. Furthermore, we prove that taking the number of assets as the decision variable is a much more efficient method.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135559408","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":null,"pages":null},"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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