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A PDE Approach to the Problems of Optimality of Expectations 期望最优性问题的PDE方法
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-23 DOI: 10.28924/2291-8639-21-2023-57
M. Hasanov
{"title":"A PDE Approach to the Problems of Optimality of Expectations","authors":"M. Hasanov","doi":"10.28924/2291-8639-21-2023-57","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-57","url":null,"abstract":"Let (X, Z) be a bivariate random vector. A predictor of X based on Z is just a Borel function g(Z). The problem of \"least squares prediction\" of X given the observation Z is to find the global minimum point of the functional E[(X − g(Z))2] with respect to all random variables g(Z), where g is a Borel function. It is well known that the solution of this problem is the conditional expectation E(X|Z). We also know that, if for a nonnegative smooth function F: R×R → R, arg ming(Z)E[F(X, g(Z))] = E[X|Z], for all X and Z, then F(x, y) is a Bregmann loss function. It is also of interest, for a fixed ϕ to find F (x, y), satisfying, arg ming(Z)E[F(X, g(Z))] = ϕ(E[X|Z]), for all X and Z. In more general setting, a stronger problem is to find F (x, y) satisfying arg miny∈RE[F (X, y)] = ϕ(E[X]), ∀X. We study this problem and develop a partial differential equation (PDE) approach to solution of these problems.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45112015","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
Lattice Valued Fuzzy Sets in UP (BCC)-Algebras UP (BCC)-代数中的格值模糊集
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-23 DOI: 10.28924/2291-8639-21-2023-59
Aiyared Iampan, A. Satirad, R. Chinram, R. Prasertpong, P. Julatha
{"title":"Lattice Valued Fuzzy Sets in UP (BCC)-Algebras","authors":"Aiyared Iampan, A. Satirad, R. Chinram, R. Prasertpong, P. Julatha","doi":"10.28924/2291-8639-21-2023-59","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-59","url":null,"abstract":"The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC)-ideals, and L-fuzzy strong UP (BCC)-ideals. Also, we study the characteristic LFSs, t-level subsets, and the Cartesian product of LFSs in UP (BCC)-algebras.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42761809","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
Analysis of the Logistic Growth Model With Taylor Matrix and Collocation Method 用泰勒矩阵和配点法分析Logistic增长模型
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-23 DOI: 10.28924/2291-8639-21-2023-58
Elçin Çelik, Deniz Uçar
{"title":"Analysis of the Logistic Growth Model With Taylor Matrix and Collocation Method","authors":"Elçin Çelik, Deniz Uçar","doi":"10.28924/2291-8639-21-2023-58","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-58","url":null,"abstract":"Early analysis of infectious diseases is very important in the spread of the disease. The main aim of this study is to make important predictions and inferences for Covid 19, which is the current epidemic disease, with mathematical modeling and numerical solution methods. So we deal with the logistic growth model. We obtain carrying capacity and growth rate with Turkey epidemic data. The obtained growth rate and carrying capacity is used in the Taylor collocation method. With this method, we estimate and making predictions close to reality with Maple. We also show the estimates made with the help of graphics and tables.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46952886","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
Frictional Contact Problem With Wear for Thermo-Viscoelastic Materials With Damage 具有损伤的热粘弹性材料的磨损摩擦接触问题
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-16 DOI: 10.28924/2291-8639-21-2023-56
Safa Gherian, Abdelaziz Azeb Ahmed, F. Yazid, F.S. Djeradi
{"title":"Frictional Contact Problem With Wear for Thermo-Viscoelastic Materials With Damage","authors":"Safa Gherian, Abdelaziz Azeb Ahmed, F. Yazid, F.S. Djeradi","doi":"10.28924/2291-8639-21-2023-56","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-56","url":null,"abstract":"We consider a mathematical model which describes a dynamic frictional contact problem for thermo-viscoelastic materials with long memory and damage. The contact is modeled by the normal compliance condition and wear between surfaces are taken into account. We establish a variational formulation for the model and prove the existence and uniqueness of the weak solution. The proof is based on arguments of hyperbolic nonlinear differential equations, parabolic variational inequalities and Banach fixed point.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49592957","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 of Solutions via C-Class Functions in Ab-Metric Spaces With Applications ab -度量空间中c类函数解的存在性及其应用
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-16 DOI: 10.28924/2291-8639-21-2023-55
N. Mangapathi, B. Rao, K. Rao, M. I. Pasha
{"title":"Existence of Solutions via C-Class Functions in Ab-Metric Spaces With Applications","authors":"N. Mangapathi, B. Rao, K. Rao, M. I. Pasha","doi":"10.28924/2291-8639-21-2023-55","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-55","url":null,"abstract":"Using C-class functions, we demonstrate a few popular common coupled fixed point theorems on Ab-metric spaces and discuss some implications of the main findings. Additionally, we provide examples to illustrate the findings and their applications to both homotopy theory and integral equations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41701640","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
Doubt m-Polar Fuzzy Sets Based on BCK-Algebras 基于BCK代数的怀疑m-极模糊集
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-16 DOI: 10.28924/2291-8639-21-2023-53
Bayan Albishry, Sarah O. Alshehri, N. Zeyada
{"title":"Doubt m-Polar Fuzzy Sets Based on BCK-Algebras","authors":"Bayan Albishry, Sarah O. Alshehri, N. Zeyada","doi":"10.28924/2291-8639-21-2023-53","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-53","url":null,"abstract":"Doubt m-polar subalgebras (ideals) were introduced and some properties were investigated. Also, doubt m-polar positive implicative (commutative) ideals were defined and related results were proved.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48625702","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 the Exponential Stability of the Implicit Differential Systems in Hilbert Spaces Hilbert空间中隐式微分系统的指数稳定性
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-16 DOI: 10.28924/2291-8639-21-2023-54
N. Beghersa, M. Benabdallah, Mohamed Hariri
{"title":"On the Exponential Stability of the Implicit Differential Systems in Hilbert Spaces","authors":"N. Beghersa, M. Benabdallah, Mohamed Hariri","doi":"10.28924/2291-8639-21-2023-54","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-54","url":null,"abstract":"The aim of this research is to study the exponential stability of the stationary implicit system: Ax’(t) + Bx(t) = 0, where A and B are bounded operators in Hilbert spaces. The achieved results are the generalization of Liapounov Theorem for the spectrum of the operator pencil λA + B. We also establish the exponential stability conditions for the corresponding perturbed and quasi-linear implicit systems.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42060621","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
Well-Posedness and Exponential Stability of the Von Kármán Beam With Infinite Memory 具有无限记忆的Von Kármán光束的适定性和指数稳定性
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-08 DOI: 10.28924/2291-8639-21-2023-52
Abdelkader Dibes, L. Bouzettouta, Manel Abdelli, S. Zitouni
{"title":"Well-Posedness and Exponential Stability of the Von Kármán Beam With Infinite Memory","authors":"Abdelkader Dibes, L. Bouzettouta, Manel Abdelli, S. Zitouni","doi":"10.28924/2291-8639-21-2023-52","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-52","url":null,"abstract":"In the present work, we consider a one-dimensional Von kármán beam with infinite memory, we establish the well-posedness of the system using semigroup theory and prove the exponential stability under some conditions on the kernel of the infinite memory term.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49103652","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
New Computer Experiment Designs Using Continuum Random Cluster Point Process 基于连续统随机簇点过程的新型计算机实验设计
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-08 DOI: 10.28924/2291-8639-21-2023-51
Hichem Elmossaoui, N. Oukid
{"title":"New Computer Experiment Designs Using Continuum Random Cluster Point Process","authors":"Hichem Elmossaoui, N. Oukid","doi":"10.28924/2291-8639-21-2023-51","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-51","url":null,"abstract":"In this paper, we propose a new approach for building computer experiment designs using the continuum random cluster point process, also referred to as the connected component Markov point process. Our method involves generating designs through the Markov Chain Monte Carlo method (MCMC) and the Random Walk Metropolis Hastings algorithm (RWMH algorithm), which can be easily scaled to meet various objectives. We have conducted a comprehensive study on the convergence of the Markov chain and compared our approach with existing computer experiment designs. Overall, our approach offers a novel and flexible solution for constructing computer experiment designs.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49288026","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
Sufficient Conditions for Convergence of Sequences of Henstock-Kurzweil Integrable Functions Henstock-Kurzweil可积函数序列收敛的充分条件
IF 1
International Journal of Analysis and Applications Pub Date : 2023-06-02 DOI: 10.28924/2291-8639-21-2023-49
Yassin Alzubaidi
{"title":"Sufficient Conditions for Convergence of Sequences of Henstock-Kurzweil Integrable Functions","authors":"Yassin Alzubaidi","doi":"10.28924/2291-8639-21-2023-49","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-49","url":null,"abstract":"The main aim of this paper is to present our approach of obtaining sufficient conditions for convergence of sequences of Henstock-Kurzweil integrable functions. Our approach involves the use of the concept of multiplier functions, where we define a class Φ of multipliers for the Henstock-Kurzweil integral. We consider a sequence (fn) of Henstock-Kurzweil integrable functions on a non-degenerate interval [a, b] and we assume that (fn) converges point wise to a function f. Then we show that f is Henstock-Kurzweil integrable and its integral is equal to the limit of the sequence (∫abfn) if there exists φ∈Φ such that the defined functionals of the type F (φ, fn) satisfy the imposed conditions. Beside the fact that the results regarding the convergence under the integral sign are always of great importance, the method introduced here can be imitated and used to obtain other results on the related areas.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42255223","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
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