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Poincare Journal of Analysis and Applications最新文献

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THE RADON SIGNED CUMULATIVE DISTRIBUTION TRANSFORM AND ITS APPLICATIONS IN CLASSIFICATION OF SIGNED IMAGES 氡符号累积分布变换及其在符号图像分类中的应用
Poincare Journal of Analysis and Applications Pub Date : 2024-05-12 DOI: 10.46753/pjaa.2023.v010i03.006
{"title":"THE RADON SIGNED CUMULATIVE DISTRIBUTION TRANSFORM AND ITS APPLICATIONS IN CLASSIFICATION OF SIGNED IMAGES","authors":"","doi":"10.46753/pjaa.2023.v010i03.006","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i03.006","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":"115 19","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140986635","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
APPROXIMATIONS IN HOLDER'S CLASS AND SOLUTION OF BESSEL'S DIFFERENTIAL EQUATIONS BY EXTENDED HAAR WAVELET 广义haar小波在holder类中的近似及贝塞尔微分方程的解
Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.003
S. Lal, Harish Chandra Yadav
{"title":"APPROXIMATIONS IN HOLDER'S CLASS AND SOLUTION OF BESSEL'S DIFFERENTIAL EQUATIONS BY EXTENDED HAAR WAVELET","authors":"S. Lal, Harish Chandra Yadav","doi":"10.46753/pjaa.2023.v010i01.003","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i01.003","url":null,"abstract":". In this paper, extended Haar wavelet has been introduced in the interval [0 ,λ ) , λ > 0 . It reduces to classical Haar wavelet for λ = 1 . The orthonormality of extended Haar wavelets has been discussed. The convergence analysis of an extended Haar wavelet series of a function f belonging to Hölder’s classes","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43788669","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
THE ERROR CONVERGENCE OF THE WEAK GALERKIN METHOD FOR TWO-DIMENSIONAL NON-LINEAR CONVECTION-DIFFUSION PROBLEM 二维非线性对流扩散问题的弱伽辽金方法的误差收敛性
Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.001
Ala N. Abdullah, Hashim A. Kashkool
{"title":"THE ERROR CONVERGENCE OF THE WEAK GALERKIN METHOD FOR TWO-DIMENSIONAL NON-LINEAR CONVECTION-DIFFUSION PROBLEM","authors":"Ala N. Abdullah, Hashim A. Kashkool","doi":"10.46753/pjaa.2023.v010i01.001","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i01.001","url":null,"abstract":". This paper presents the fully-discrete scheme for the solution of two-dimensional non-linear convection diffusion equations by using the Crank-Nicolson-Weak Galerkin finite element methods. We introduce and analyze stability. The error estimate and an optimal order of ( L 2 and H 1 )-norm are proved. We confirm the theoretical results with some numerical examples.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44039589","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
MIXED INTEGRAL OPERATOR OF THE VOLTERRA CONVOLUTION TYPE IN WEIGHTED GENERALIZED HÖLDER SPACE 加权广义hÖlder空间中volterra卷积型混合积分算子
Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.010
T. Mamatov, Nemat Mustafoev
{"title":"MIXED INTEGRAL OPERATOR OF THE VOLTERRA CONVOLUTION TYPE IN WEIGHTED GENERALIZED HÖLDER SPACE","authors":"T. Mamatov, Nemat Mustafoev","doi":"10.46753/pjaa.2023.v010i01.010","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i01.010","url":null,"abstract":". Weighted Zygmund type estimates are obtained for the mixed continuity modulus of some convolution type integrals. In the case of mixed fractional integrals this strengthened to a result on isomorphism between certain weighted generalized Hölder type spaces","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43989941","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 A FUNCTION HAVING BOUNDED DERIVATIVES UPTO THE SECOND ORDER BY SINE-COSINE WAVELET EXPANSION AND ITS APPLICATIONS 用正弦余弦小波展开逼近二阶导数有界的函数及其应用
Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.014
Vivek Kumar Sharma, Virendra Sharma, S. Lal, H. Srivastava, R. .
{"title":"APPROXIMATION OF A FUNCTION HAVING BOUNDED DERIVATIVES UPTO THE SECOND ORDER BY SINE-COSINE WAVELET EXPANSION AND ITS APPLICATIONS","authors":"Vivek Kumar Sharma, Virendra Sharma, S. Lal, H. Srivastava, R. .","doi":"10.46753/pjaa.2023.v010i01.014","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i01.014","url":null,"abstract":". In this paper, sine-cosine wavelet has been introduced and the approximation errors of the function f ( t ) whose first and second derivatives are bounded have been estimated using this wavelet and it is used to solve some linear differential equations. Solution obtained by this method is compared with Euler’s method and with exact solution. We observe that the solution obtained by this method is better than the solution given by the Euler’s method which shows the usefulness of this method.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41689345","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
RATIONAL LIMIT CYCLES FOR A CLASS OF GENERALIZED ABEL'S POLYNOMIAL DIFFERENTIAL EQUATIONS 一类广义abel多项式微分方程的有理极限环
Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.002
A. Kina, A. Bendjeddou
{"title":"RATIONAL LIMIT CYCLES FOR A CLASS OF GENERALIZED ABEL'S POLYNOMIAL DIFFERENTIAL EQUATIONS","authors":"A. Kina, A. Bendjeddou","doi":"10.46753/pjaa.2023.v010i01.002","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i01.002","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44283201","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 NOTE ON FRAMES IN NON-LOCALLY CONVEX BANACH SPACES 关于非局部凸BANACH空间中框架的一个注记
Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.004
J. L. Ghimire, Teena Kohli, N. Pahari
{"title":"A NOTE ON FRAMES IN NON-LOCALLY CONVEX BANACH SPACES","authors":"J. L. Ghimire, Teena Kohli, N. Pahari","doi":"10.46753/pjaa.2023.v010i01.004","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i01.004","url":null,"abstract":". Shrinking atomic decompositions in locally convex Banach spaces were studied by Carando and Lassalle [2]. In this paper, we define strongly shrinking atomic decompositions in p -Banach spaces and give necessary and sufficient condition for atomic decomposition to be shrinking and boundedly complete.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45290412","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
WEAKLY NANO SEMI-I-OPEN SETS AND WEAKLY NAMO SEMI-I-CONTINUOUS FUNCTIONS 弱纳米半开集与弱纳米半连续函数
Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.006
Jamal M. Mustafa
{"title":"WEAKLY NANO SEMI-I-OPEN SETS AND WEAKLY NAMO SEMI-I-CONTINUOUS FUNCTIONS","authors":"Jamal M. Mustafa","doi":"10.46753/pjaa.2023.v010i01.006","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i01.006","url":null,"abstract":". In this paper, the notion of weakly nano semi-I-open sets is introduced and used to define the notions of weakly nano semi-I-continuous functions, weakly nano semi-I-open functions, and weakly nano semi-I-closed functions.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45584343","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
CORRIGENDUM: MORE CHARACTERIZATIONS ABOUT SOFT SETS AND SOFT CONTINUITY 更正:关于软集和软连续性的更多特征
Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.016
MURAD ARAR
{"title":"CORRIGENDUM: MORE CHARACTERIZATIONS ABOUT SOFT SETS AND SOFT CONTINUITY","authors":"MURAD ARAR","doi":"10.46753/pjaa.2023.v010i01.016","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i01.016","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136301084","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 AND HYERS-ULAM STABILITY OF THE SOLUTIONS TO THE IMPLICIT SECOND-ORDER DIFFERENTIAL EQUATION 隐式二阶微分方程解的存在性及hyers-ulam稳定性
Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.013
I. Kaddoura, S. Al-Issa, N. J. Rifai
{"title":"EXISTENCE AND HYERS-ULAM STABILITY OF THE SOLUTIONS TO THE IMPLICIT SECOND-ORDER DIFFERENTIAL EQUATION","authors":"I. Kaddoura, S. Al-Issa, N. J. Rifai","doi":"10.46753/pjaa.2023.v010i01.013","DOIUrl":"https://doi.org/10.46753/pjaa.2023.v010i01.013","url":null,"abstract":". The main objective of this research is to investigate the existence and stability of solutions for implicit second order differential equations with fractional-orders integral boundary conditions. Our studies have relied on Krasnoselskii’s fixed point theorem and Banach contraction principle. We provide examples to clarify the achieved conclusions.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45682552","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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