{"title":"On the degenerate q-tangent numbers and polynomials associated with the p-adic integral on Zp","authors":"C. Ryoo","doi":"10.12988/ijma.2015.59235","DOIUrl":"https://doi.org/10.12988/ijma.2015.59235","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"127 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":"124219314","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}
{"title":"Hyers-Ulam stability additive β-functional inequalities with three variables in non-Archimedean Banach space and complex Banach spaces","authors":"L. An","doi":"10.12988/ijma.2020.91169","DOIUrl":"https://doi.org/10.12988/ijma.2020.91169","url":null,"abstract":"In this paper we solve additive β-functional inequalities with three variables and their Hyers-Ulam stability in nonArchimedean Banach spaces as well as in complex Banach spaces. It is shown that the solutions of first and second inequalities are additive mappings. Then Hyers-Ulam stability of these inequalities is studied and proven.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"15 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":"120846042","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}
{"title":"Some Inequalities for Measurable Operators","authors":"D. T. Hoa, V. Nam","doi":"10.12988/IJMA.2014.39220","DOIUrl":"https://doi.org/10.12988/IJMA.2014.39220","url":null,"abstract":"In this paper, Loewner-Heinz inequality, Hansen inequality and Furuta inequality for measurable operators affiliated with a given von Neumann algebras will be given.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"94 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":"120866673","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}
{"title":"Hermite-Hadamard-like type inequalities for differentiable harmonically convex and quasi-convex functions","authors":"Jaekeun Park","doi":"10.12988/IJMA.2014.47216","DOIUrl":"https://doi.org/10.12988/IJMA.2014.47216","url":null,"abstract":"In this paper, by setting up a generalized integral identity for differentiable functions, the author obtain some new upper bounds of Hermite-Hadamard-like type inequalities for differentiable harmonically convex and harmonically quasi-convex functions. Mathematics Subject Classification: 26A51, 26D15","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"66 17","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114086006","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}
M. Islam, Asad Ali, Asia Shehzadi Shehzadi, Hoor Ul Ain
{"title":"Gamma function and k-gamma function for two variables","authors":"M. Islam, Asad Ali, Asia Shehzadi Shehzadi, Hoor Ul Ain","doi":"10.12988/ijma.2020.91286","DOIUrl":"https://doi.org/10.12988/ijma.2020.91286","url":null,"abstract":"The main objective of this paper to introduce two variable gamma function. We present Gauss, Weierstrass representation and prove the some basic properties of gamma function for two variables. Furthermore, we establish some inequalities involving this new function.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"23 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":"114207388","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}
{"title":"A hybrid GA-PSO approach for reliability under type II censored data using exponential distribution","authors":"K. Kalaivani, S. Somsundaram","doi":"10.12988/IJMA.2014.49286","DOIUrl":"https://doi.org/10.12988/IJMA.2014.49286","url":null,"abstract":"Today software plays an important role and its application is used in each and every domain. In software testing phase, quality risk, reliability and fault detection are used to analysis and remove the failure of the item. Owing to time constraints and limited number of testing unit, we cannot fix the experiment until the failure. In order to observe the failure during testing phase, censoring becomes significant methodology to estimate model parameters of exponential distributions. The most common censoring schemes do not have the flexibility to identify the failure in the terminal point. The most commonly used censoring schemes are Type I and Type II censoring schemes. To identify the optimum censoring scheme and overcome these problems optimal technique is used in this paper. Thus, optimal scheme will improve the output of testing phase with the aid of specific optimal constraints. Entropy and variance are used as optimal criterion. Determination of Optimal schemes will be done by Hybrid Genetic Algorithm (GA) and Particle Swarm Optimization (PSO). The risk values are estimated of the selected optimal censoring scheme. 2482 K. Kalaivani and S. Somsundaram","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"27 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":"114216392","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}
{"title":"Remarks on the approximate positive for Lotka-McKendrick system by positive birth control","authors":"M. Azzouzi","doi":"10.12988/ijma.2015.55153","DOIUrl":"https://doi.org/10.12988/ijma.2015.55153","url":null,"abstract":"This paper is devoted to study the approximate positive controllability for an age dependant population equation with birth process. Mathematics Subject Classification: 35K65, 47D06, 92D25, 93B05, 93C25","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"5 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":"114334390","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}
{"title":"The stability of additive-quadratic functional equations in paranormed spaces","authors":"Chang Il Kim, C. Kang","doi":"10.12988/ijma.2015.5369","DOIUrl":"https://doi.org/10.12988/ijma.2015.5369","url":null,"abstract":"In this paper, we prove the generalized Hyers-Ulam stability for the following additive-quadratic functional equation f(2x + y)− f(x + 2y) + f(x− y)− f(y − x)− 3f(x) + 3f(y) = 0 in paranormed spaces by using the fixed point method. Mathematics Subject Classification: 39B52, 39B72, 47H10","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":"114540504","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}
{"title":"Fractional order model for the spread of leptospirosis","authors":"M. El-shahed","doi":"10.12988/IJMA.2014.410312","DOIUrl":"https://doi.org/10.12988/IJMA.2014.410312","url":null,"abstract":"This paper deals with the fractional order for the spread of Leptospirosis. The non-local property of Leptospirosis epidemic model presented by fractional order differential equation makes the model to be more realistic compare to the analogues integer order, which lacks this property. The stability of disease free and positive fixed points is studied. We show that the model introduced in this paper has non negative solutions. AdamsBashforthMoulton algorithm have been used to solve and simulate the system of differential equations. Mathematics Subject Classification: 92B05, 93A30, 93C15","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"26 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":"121482922","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}
{"title":"Results on weak W-continuity in weak spaces","authors":"W. Min, Young Key Kim","doi":"10.12988/IJMA.2016.6577","DOIUrl":"https://doi.org/10.12988/IJMA.2016.6577","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"48 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":"121738480","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}