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International Journal of Mathematical Analysis最新文献

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Another Method to Evaluate Green Functions for Elliptic Equations 椭圆方程格林函数的另一种求值方法
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2014.44107
Y. Miyazaki
{"title":"Another Method to Evaluate Green Functions for Elliptic Equations","authors":"Y. Miyazaki","doi":"10.12988/IJMA.2014.44107","DOIUrl":"https://doi.org/10.12988/IJMA.2014.44107","url":null,"abstract":"It is well known that the resolvent kernel for a strongly elliptic operator with constant coefficients, which is the inverse Fourier transform of the related symbol, satisfies the exponential decay estimate. We derive it by the formula that expresses the resolvent in terms of the integration with respect to spectral parameter of a high power of the resolvent, whose kernel can be evaluated by the standard method. This approach also works when the elliptic operator is defined on a domain and has variable coefficients.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121083822","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
Up-martingales in vector lattices 向量格中的上鞅
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2014.44117
M. Pliev, M. Popov, O. Sobchuk
{"title":"Up-martingales in vector lattices","authors":"M. Pliev, M. Popov, O. Sobchuk","doi":"10.12988/IJMA.2014.44117","DOIUrl":"https://doi.org/10.12988/IJMA.2014.44117","url":null,"abstract":"We provide a construction in a general vector lattice similar to martingales, however not using both integrability and norms of elements. The idea is to replace the mean value with the infimum value in the conditional expectation of a positive element. On the one hand, the construction is quite general. But on the other hand, the corresponding operator playing role of a conditional expectation is both nonlinear and non-order continuous in the most natural examples of filtrations, that makes investigation to be non-trivial. Another difference from the standard martingales is that we consider arbitrary nets for indices of filtrations instead of just subsets of the real line. We also give an application of standard martingales over a general net of indices that cannot be obtained using countable martingales or martingales over the indices from a segment of the real line. Mathematics Subject Classification: Primary 46A35; secondary 46B15; 46A40; 46B42","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"49 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121307215","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
Transformation formulas for some Exton's quadruple hypergeometric functions 一些Exton四重超几何函数的变换公式
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2015.412400
Ahmed Ali Atash, Ala'a Mohammed Obad
{"title":"Transformation formulas for some Exton's quadruple hypergeometric functions","authors":"Ahmed Ali Atash, Ala'a Mohammed Obad","doi":"10.12988/IJMA.2015.412400","DOIUrl":"https://doi.org/10.12988/IJMA.2015.412400","url":null,"abstract":"In this paper certain transformation formulas for Exton’s quadruple hypergeometric functions ) , , ( 10 9 5 3 K and K K K are obtained. A number of a known and new reduction formulas for such other types of hypergeometric functions are shown as special cases of our main results.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127120729","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: 1
Conditional volatility estimation by conditional quantile autoregression 条件分位数自回归的条件波动估计
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2014.47210
D. Mutunga, P. Mwita, B. Muema
{"title":"Conditional volatility estimation by conditional quantile autoregression","authors":"D. Mutunga, P. Mwita, B. Muema","doi":"10.12988/IJMA.2014.47210","DOIUrl":"https://doi.org/10.12988/IJMA.2014.47210","url":null,"abstract":"This paper considers the problem of estimating conditional volatility function using conditional quantile autoregression function. We estimate the interquantile autoregression range and the conditional volatility function under known distributional assumptions. The conditional volatility function estimator is found to be theoretically consistent. A small simulation study ascertains that the Volatility Estimator is consistent. Mathematics Subject Classification: 62G05; 62M1","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127346471","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: 1
Poly-Bernoulli polynomials and their applications 聚-伯努利多项式及其应用
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2014.46178
Taekyun Kim, Y. Jang, Jong-Jin Seo
{"title":"Poly-Bernoulli polynomials and their applications","authors":"Taekyun Kim, Y. Jang, Jong-Jin Seo","doi":"10.12988/IJMA.2014.46178","DOIUrl":"https://doi.org/10.12988/IJMA.2014.46178","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124981050","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: 5
Stieltjes transformation as the iterated Laplace transformation Stieltjes变换作为迭代拉普拉斯变换
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2017.7796
B. Khedkar, S. B. Gaikwad
{"title":"Stieltjes transformation as the iterated Laplace transformation","authors":"B. Khedkar, S. B. Gaikwad","doi":"10.12988/IJMA.2017.7796","DOIUrl":"https://doi.org/10.12988/IJMA.2017.7796","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124995119","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
Common fixed point theorem for generalized contractive type maps on complex valued b-metric spaces 复值b-度量空间上广义压缩型映射的公共不动点定理
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2015.57179
J. Kumar, S. Vashistha
{"title":"Common fixed point theorem for generalized contractive type maps on complex valued b-metric spaces","authors":"J. Kumar, S. Vashistha","doi":"10.12988/IJMA.2015.57179","DOIUrl":"https://doi.org/10.12988/IJMA.2015.57179","url":null,"abstract":"In this paper, we proved a common fixed point theorem for generalized contractive type maps in complex valued b-metric spaces, which generalized the results of Aiman A. Makheimer [6] and many other authors. Mathematics Subject Classification: 47H10, 54H25","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126057939","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: 9
On a Hilbert-type integral inequality in the whole plane with the exponential function 在整个平面上用指数函数求解hilbert型积分不等式
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2017.7223
Zhaohui Gu, Bicheng Yang
{"title":"On a Hilbert-type integral inequality in the whole plane with the exponential function","authors":"Zhaohui Gu, Bicheng Yang","doi":"10.12988/IJMA.2017.7223","DOIUrl":"https://doi.org/10.12988/IJMA.2017.7223","url":null,"abstract":"By introducing the exponential function as the interval variable and obtaining the weight functions, a new Hilbert-type integral inequality in the whole plane with a best possible constant factor expressed by the beta function is given. The equivalent forms and a few particular cases are considered. Mathematics Subject Classification: 26D15","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126066507","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
Holomorphically Decomposable Fredholm Elements in Semi-Simple Banach Algebras 半简单Banach代数中的全纯可分解Fredholm元
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2013.13136
A. E. Bakkali, A. Tajmouati, Sidi Mohamed
{"title":"Holomorphically Decomposable Fredholm Elements in Semi-Simple Banach Algebras","authors":"A. E. Bakkali, A. Tajmouati, Sidi Mohamed","doi":"10.12988/IJMA.2013.13136","DOIUrl":"https://doi.org/10.12988/IJMA.2013.13136","url":null,"abstract":"The notion of holomorphically decomposable Fredholm operators is extended in case of complex semi-simple Banach algebra A. Indeed, let x ∈A , we studies σhF (x) the holomorphically decomposable Fredholm spectrum of x. We prove that σhF (x) is countable if and only if the usual spectrum σ(x) is. Also we discuss the spectral mapping theorem for σhF (x). On the other hand we prove that the class HΦ(A) for the holomorphically decomposable Fredholm elements in A is an upper","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126146883","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: 1
Potential Symmetries and Differential Forms for Wave Dissipation Equation 波耗散方程的势对称性和微分形式
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2013.36163
V. G. Gupta, K. Pal
{"title":"Potential Symmetries and Differential Forms for Wave Dissipation Equation","authors":"V. G. Gupta, K. Pal","doi":"10.12988/IJMA.2013.36163","DOIUrl":"https://doi.org/10.12988/IJMA.2013.36163","url":null,"abstract":"The differential form method is applied to study the wave equation with dissipation and extended to determine potential symmetries. The symmetry group are given and group invariant solutions associated to the symmetries are obtained.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"77 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123228595","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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