Pub Date : 2024-05-12DOI: 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}
Pub Date : 2023-06-30DOI: 10.46753/pjaa.2023.v010i01.003
S. Lal, Harish Chandra Yadav
. 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
{"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}
Pub Date : 2023-06-30DOI: 10.46753/pjaa.2023.v010i01.001
Ala N. Abdullah, Hashim A. Kashkool
. 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.
{"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}
Pub Date : 2023-06-30DOI: 10.46753/pjaa.2023.v010i01.010
T. Mamatov, Nemat Mustafoev
. 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
{"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}
Pub Date : 2023-06-30DOI: 10.46753/pjaa.2023.v010i01.014
Vivek Kumar Sharma, Virendra Sharma, S. Lal, H. Srivastava, R. .
. 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.
{"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}
Pub Date : 2023-06-30DOI: 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}
Pub Date : 2023-06-30DOI: 10.46753/pjaa.2023.v010i01.004
J. L. Ghimire, Teena Kohli, N. Pahari
. 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.
{"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}
Pub Date : 2023-06-30DOI: 10.46753/pjaa.2023.v010i01.006
Jamal M. Mustafa
. 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.
{"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}
Pub Date : 2023-06-30DOI: 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}
Pub Date : 2023-06-30DOI: 10.46753/pjaa.2023.v010i01.013
I. Kaddoura, S. Al-Issa, N. J. Rifai
. 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.
{"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}
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