In this paper, we introduce the reduced Kulli-Gutman Sombor index of a graph. Also we compute the Kulli-Gutman Sombor index and the reduced Kulli-Gutman Sombor index of oxide and honeycomb networks.
{"title":"Computation of Reduced Kulli-Gutman Sombor Index of Certain Networks","authors":"V. Kulli","doi":"10.22457/jmi.v23a01209","DOIUrl":"https://doi.org/10.22457/jmi.v23a01209","url":null,"abstract":"In this paper, we introduce the reduced Kulli-Gutman Sombor index of a graph. Also we compute the Kulli-Gutman Sombor index and the reduced Kulli-Gutman Sombor index of oxide and honeycomb networks.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88172793","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}
This paper is dedicated to investigating a quasilinear elliptic systemwith p- Laplacian in R N , which involves critical Hardy-Littlewood-Sobolev nonlinearities and critical Sobolev nonlinearities. Based upon the Hardy-Littlewood-Sobolev inequality and variational methods, we obtain the attainability of the corresponding best constants and the existence of nontrivial solutions.
{"title":"Existence of Solutions for Quasilinear Coupled Systemswith Multiple Critical Nonlinearities","authors":"Ying Yang, Z. Deng","doi":"10.22457/jmi.v23a03212","DOIUrl":"https://doi.org/10.22457/jmi.v23a03212","url":null,"abstract":"This paper is dedicated to investigating a quasilinear elliptic systemwith p- Laplacian in R N , which involves critical Hardy-Littlewood-Sobolev nonlinearities and critical Sobolev nonlinearities. Based upon the Hardy-Littlewood-Sobolev inequality and variational methods, we obtain the attainability of the corresponding best constants and the existence of nontrivial solutions.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"9 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82127081","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}
In this paper, we consider a class of variational-hemivariational inequality problems with constraints in a reflexive Banach space. This inequality problem involves two nonlinear operators and two nondifferentiable functionals. We introduce the penalty parameter and the penalty operator and change the initial problem into the penalty one, and then use the generalize
{"title":"Generalized Penalty Method for a Class of Variational-hemivariational Inequality","authors":"Fang Liu","doi":"10.22457/jmi.v22a01203","DOIUrl":"https://doi.org/10.22457/jmi.v22a01203","url":null,"abstract":"In this paper, we consider a class of variational-hemivariational inequality problems with constraints in a reflexive Banach space. This inequality problem involves two nonlinear operators and two nondifferentiable functionals. We introduce the penalty parameter and the penalty operator and change the initial problem into the penalty one, and then use the generalize","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"24 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83306033","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}
In this paper, we introduce the Revan-Sombor index of a graph, which is a combination of the earlier considered Revan- and Sombor-type vertex-degree-based molecular structure descriptors. Some properties of this newly defined topological index are established
{"title":"Revan Sombor Index","authors":"V. Kulli, I. Gutman","doi":"10.22457/jmi.v22a03205","DOIUrl":"https://doi.org/10.22457/jmi.v22a03205","url":null,"abstract":"In this paper, we introduce the Revan-Sombor index of a graph, which is a combination of the earlier considered Revan- and Sombor-type vertex-degree-based molecular structure descriptors. Some properties of this newly defined topological index are established","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"28 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82679558","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}
In this study, we propose the first and second modified E-Banhatti indices and the first and second (a, b)-KA E-Banhatti indices of a graph. We compute the first and second (a, b)-KA E-Banhatti indices for HC5C7 [p, q] nanotubes. We also establish some other E-Banhatti indices directly as a special case of these indices for some special values of a and b.
{"title":"The (a, b)-KA E-Banhatti Indices of Graphs","authors":"V. Kulli","doi":"10.22457/jmi.v23a06214","DOIUrl":"https://doi.org/10.22457/jmi.v23a06214","url":null,"abstract":"In this study, we propose the first and second modified E-Banhatti indices and the first and second (a, b)-KA E-Banhatti indices of a graph. We compute the first and second (a, b)-KA E-Banhatti indices for HC5C7 [p, q] nanotubes. We also establish some other E-Banhatti indices directly as a special case of these indices for some special values of a and b.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"260 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76794885","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}
In order to remove Gaussian noise from images, a Gaussian noise image restoration method based on the L2 norm regularization model was proposed. The L2 norm is selected as the data fidelity term and the gradient operator and wavelet frame as the regularization term to suppress the image ladder effect and protect the image edge details. Since the objective function of the model is a large convex function, the solving process is very tedious. The split Bregman iterative algorithm and alternate direction multiplier method are combined to restore the image. The experimental results show that show that the alternate direction multiplier method can effectively reduce the difficulty of solving the restoration model, and the image recovered by using this model has a higher peak signal-to-n ratio and better structural similarity and can get a clearer image.
{"title":"L2 Regularization Model with Removal of Gaussian Noise","authors":"Gou Yuying, Zhang Guicang, Han Genlian","doi":"10.22457/jmi.v23a04211","DOIUrl":"https://doi.org/10.22457/jmi.v23a04211","url":null,"abstract":"In order to remove Gaussian noise from images, a Gaussian noise image restoration method based on the L2 norm regularization model was proposed. The L2 norm is selected as the data fidelity term and the gradient operator and wavelet frame as the regularization term to suppress the image ladder effect and protect the image edge details. Since the objective function of the model is a large convex function, the solving process is very tedious. The split Bregman iterative algorithm and alternate direction multiplier method are combined to restore the image. The experimental results show that show that the alternate direction multiplier method can effectively reduce the difficulty of solving the restoration model, and the image recovered by using this model has a higher peak signal-to-n ratio and better structural similarity and can get a clearer image.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"127 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73608650","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}
Abstract The article contains a new technique to estimate the mean of the variate of the interest of the finite population with the help of two auxiliary variates. The technique complies well with the stratified population in which each strata proportion is predicted by taking an initial sample called the first phase sample. When the first phase sample is taken, a second sample is taken from the first sample which is called the second phase sample which is used to estimate the mean of the variate of the interest. In our study, we have considered the population which has two correlated auxiliary variates that pass almost through the origin. In such a situation ratio estimation technique and product estimation technique that provides improved estimates of the mean of the variate of the interest. Our technique considers a ratio-product type exponential estimator of which we have established efficiency theoretically as well as empirically.
{"title":"Improved strategy for computation of population mean under double stratified sampling framework","authors":"S. Zeeshan, G. K. Vishwakarma","doi":"10.2478/jamsi-2021-0011","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0011","url":null,"abstract":"Abstract The article contains a new technique to estimate the mean of the variate of the interest of the finite population with the help of two auxiliary variates. The technique complies well with the stratified population in which each strata proportion is predicted by taking an initial sample called the first phase sample. When the first phase sample is taken, a second sample is taken from the first sample which is called the second phase sample which is used to estimate the mean of the variate of the interest. In our study, we have considered the population which has two correlated auxiliary variates that pass almost through the origin. In such a situation ratio estimation technique and product estimation technique that provides improved estimates of the mean of the variate of the interest. Our technique considers a ratio-product type exponential estimator of which we have established efficiency theoretically as well as empirically.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"91 - 102"},"PeriodicalIF":0.3,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45504484","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}
Abstract Skewes’ number was discovered in 1933 by South African mathematician Stanley Skewes as upper bound for the first sign change of the difference π (x) − li(x). Whether a Skewes’ number is an integer is an open problem of Number Theory. Assuming Schanuel’s conjecture, it can be shown that Skewes’ number is transcendental. In our paper we have chosen a different approach to prove Skewes’ number is an integer, using lattice points and tangent line. In the paper we acquaint the reader also with prime numbers and their use in RSA coding, we present the primary algorithms Lehmann test and Rabin-Miller test for determining the prime numbers, we introduce the Prime Number Theorem and define the prime-counting function and logarithmic integral function and show their relation.
{"title":"Proof the Skewes’ number is not an integer using lattice points and tangent line","authors":"V. Ďuriš, T. Šumný, T. Lengyelfalusy","doi":"10.2478/jamsi-2021-0006","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0006","url":null,"abstract":"Abstract Skewes’ number was discovered in 1933 by South African mathematician Stanley Skewes as upper bound for the first sign change of the difference π (x) − li(x). Whether a Skewes’ number is an integer is an open problem of Number Theory. Assuming Schanuel’s conjecture, it can be shown that Skewes’ number is transcendental. In our paper we have chosen a different approach to prove Skewes’ number is an integer, using lattice points and tangent line. In the paper we acquaint the reader also with prime numbers and their use in RSA coding, we present the primary algorithms Lehmann test and Rabin-Miller test for determining the prime numbers, we introduce the Prime Number Theorem and define the prime-counting function and logarithmic integral function and show their relation.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"5 - 18"},"PeriodicalIF":0.3,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43768778","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}
Abstract This paper develops a stochastic equivalence approach for an Ornstein-Uhlenbeck process-driven power system. The concept of stochastic equivalence coupled with stochastic differential rule plays the important role to develop the stochastic equivalence approach of this paper. This paper also develops the prediction theory of power system dynamics with the OU process as well.
{"title":"A stochastic equivalence approach for an Ornstein-Uhlenbeck process driven power system dynamics","authors":"R. H. Hirpara","doi":"10.2478/jamsi-2021-0008","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0008","url":null,"abstract":"Abstract This paper develops a stochastic equivalence approach for an Ornstein-Uhlenbeck process-driven power system. The concept of stochastic equivalence coupled with stochastic differential rule plays the important role to develop the stochastic equivalence approach of this paper. This paper also develops the prediction theory of power system dynamics with the OU process as well.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"47 - 58"},"PeriodicalIF":0.3,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48671734","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}
Abstract In this article, an extension of exponentiated exponential distribution is familiarized by adding an extra parameter to the parent distribution using alpha power technique. The new distribution obtained is referred to as Alpha Power Exponentiated Exponential Distribution. Various statistical properties of the proposed distribution like mean, variance, central and non-central moments, reliability functions and entropies have been derived. Two real life data sets have been applied to check the flexibility of the proposed model. The new density model introduced provides the better fit when compared with other related statistical models.
{"title":"An extensive extension of exponentiated exponential distribution using alpha power transformation – statistical properties and applications in engineering science","authors":"S. Q. Ain, K. U. I. Rather","doi":"10.2478/jamsi-2021-0009","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0009","url":null,"abstract":"Abstract In this article, an extension of exponentiated exponential distribution is familiarized by adding an extra parameter to the parent distribution using alpha power technique. The new distribution obtained is referred to as Alpha Power Exponentiated Exponential Distribution. Various statistical properties of the proposed distribution like mean, variance, central and non-central moments, reliability functions and entropies have been derived. Two real life data sets have been applied to check the flexibility of the proposed model. The new density model introduced provides the better fit when compared with other related statistical models.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"59 - 74"},"PeriodicalIF":0.3,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46547036","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：