S. Karthikeyan, J. Venkatesan, N. Vijaya, G. Chitra, G. Ganapathy
{"title":"Instabilities and Stabilities of Additive Functional Equation in Paranormed Spaces","authors":"S. Karthikeyan, J. Venkatesan, N. Vijaya, G. Chitra, G. Ganapathy","doi":"10.28924/2291-8639-22-2024-3","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-3","url":null,"abstract":"In this paper, we solve the general solution in vector space and prove the Hyers-Ulam stability of the following additive functional equationin paranormed spaces by using the direct and fixed point methods. Also we present its pertinent counter examples for instabilities.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"51 5","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139388366","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":"Weighted Polynomial Approximation Error, Szegö Curve and Growth Parameters of Analytic Functions","authors":"Devendra Kumar","doi":"10.28924/2291-8639-22-2024-5","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-5","url":null,"abstract":"The Szegö curve is denoted by SRo={z∈C: |ze1−z|=Ro, |z|≤1} and let HR be the class of functions analytic in GR but not in GR’ if R<R’, GRo=int SRo’, 0<Ro<R<1. In this paper we have studied growth parameters in terms of weighted polynomial approximation errors on SRo for the functions f∈HR having rapidly increasing maximum modulus so that the order of f(z) is infinite.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"11 9","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139451620","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":"Mathematical Modeling for a CHIKV Transmission Under the Influence of Periodic Environment","authors":"M. El Hajji, N. S. Alharbi, Mohammed H. Alharbi","doi":"10.28924/2291-8639-22-2024-6","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-6","url":null,"abstract":"We studied a simple mathematical model for the chikungunya virus (CHIKV) spread under the influence of a seasonal environment with two routes of infection. We investigated the existence and the uniqueness of a bounded positive solution, and we showed that the system admits a global attractor set. We calculated the basic reproduction number R0 for the both cases, the fixed and seasonal environment which permits us to characterise both, the extinction and the persistence of the disease with regard to the values of R0. We proved that the virus-free equilibrium point is globally asymptotically stable if R0≤1, while the disease will persist if R0>1. Finally, we gave some numerical examples confirming the theoretical findings.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"57 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139451647","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":"Certain Bounds for a Subclasses of Analytic Functions of Reciprocal Order","authors":"K. Dhanalakshmi, D. Kavitha, K. Anitha","doi":"10.28924/2291-8639-21-2023-138","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-138","url":null,"abstract":"In this article we obtain the best possible estimates, Fekete Szego inequality and bounds of second Hankel determinant for the function belonging to the new subclass of reciprocal order.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"58 30","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138949476","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}
C. P. Pandey, M. M. Dixit, Mopi Ado, Sunil Kumar Singh
{"title":"The Continuous Wavelet Transform in Sobolev Spaces Over Locally Compact Abelian Group and Its Approximation Properties","authors":"C. P. Pandey, M. M. Dixit, Mopi Ado, Sunil Kumar Singh","doi":"10.28924/2291-8639-21-2023-139","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-139","url":null,"abstract":"The Sobolev space over locally compact abelian group Hs(G) is defined and we extend the continuous wavelet transform to Sobolev space Hs(G) for arbitrary real s. This generalisation of the wavelet transform naturally leads to a unitary operator between these spaces. Further, the asymptotic behaviour of the transforms of the L2 function for small scaling parameters is examined. In special cases, the wavelet transform converges to a generalized derivative of its argument. We also discuss the consequences for the discrete wavelet transform arising from this property. Numerical examples illustrate the main result.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"14 10","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138949140","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}
Zakaria Lamine, M. Mamouni, Mohammed Wadia Mansouri
{"title":"A Topological Data Analysis of the Protein Structure","authors":"Zakaria Lamine, M. Mamouni, Mohammed Wadia Mansouri","doi":"10.28924/2291-8639-21-2023-136","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-136","url":null,"abstract":"Persistent homology is a tool from a set of methods called Topological data analysis, showing until nowadays a lot of success when it comes to application in biology since this latest uses metrics only for measuring similarities, Embedding the geometric details and focusing on the global shape is the key point making the success of persistent homology, this will be investigated in the paper since enormous work already done in the field and results seems to be endless, as an efficient topological data analysis tool. In this work we will be confirming the latest assumption (topology embeds geometry) by displaying the structure of COILED SERINE which is a protein estimated to constitute 3-5 percent of the encoded residues in most genomes, and giving a substitute of the optimal characteristic distance that can be used in the flexibility-rigidity index, a classic method used to simulate molecule movements and flexible behavior, when it comes to atomic rigidity functions. We will also analyze interesting patterns in the binding site of the beta sheet generated from the pdb file 2JOX. We will be detecting and giving a simple description of different patterns generated by using javaplex generating barcodes and linear statistical results as a summary statistics.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"1 8","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139173444","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":"Connectedness in Single-Valued Neutrosophic Soft Grill Topological Spaces","authors":"Y. Saber","doi":"10.28924/2291-8639-21-2023-137","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-137","url":null,"abstract":"The incentive of this article is to continue discovering more interesting results and concepts related to the single-valued neutrosophic soft topological spaces. The concept of the single-valued neutrosophic soft operator φ created from a single-valued neutrosophic soft grill (Kσ, Kτ, Kδ) and a single-valued neutrosophic soft topological space (B, ~T~σ, ~T~ς, ~T~δ) is presented. Connectedness of single-valued neutrosophic soft topological spaces with single-valued neutrosophic soft grills is given. Moreover, the concept of γ-connectedness associated with a single-valued neutrosophic soft operator γ is extended on the set B.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"38 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175488","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}
B. S. Reddy, S. Vijayabalaji, N. Thillaigovindan, P. Balaji
{"title":"A Vague Rough Set Approach for Failure Mode and Effect Analysis in Medical Accident","authors":"B. S. Reddy, S. Vijayabalaji, N. Thillaigovindan, P. Balaji","doi":"10.28924/2291-8639-21-2023-134","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-134","url":null,"abstract":"Identifying the risk factor is a key to success for the Failure model. This paper presents a new FMEA (Failure Mode and Effect Analysis) in medical accident for the hospital management by using vague rough matrix information captured through vague rough set. Using β-product and β-complement product into fuzzy relation matrix and vague set to find the new lower and upper approximation of vague rough set. This method will provide an easy methodology to find the weight of risk factor. Using an example we validate our proposed approach.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"71 24","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138586861","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":"Note on Type L-Functions of Euler Product of Second Degree","authors":"Ali H. Hakami","doi":"10.28924/2291-8639-21-2023-135","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-135","url":null,"abstract":"In this paper we are concerned with a special case of Euler functions. We shall study the Euler product of degree two (Type of L-Euler functions) and give some results. More precisely, we shall deal with some Dirichlet series associated with a class of arithmetic {an} under the condition that apapk = apk+1 + pαapk−1, provided p is prime, k≥1, and α is a fixed complex number. We will demonstrate that there is an Euler’s product for the Dirichlet series Σnan/ns. This result is important in analysis, especially in analytic number theory.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"42 16","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138588371","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 Graphical Representation of the Truncated Moment of the Solution of a Nonlinear SPDE","authors":"B. Smii, Dhaker Kroumi","doi":"10.28924/2291-8639-21-2023-132","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-132","url":null,"abstract":"We consider a stochastic partial differential equation driven by a Lévy type noise (SPDE). Particular attention is given to the correlation function which measures the moments of the solution. Using the Feynman graph formalism, the solution of the SPDE as well as its truncated moments are given as a sum over specific graphs that are evaluated according to some rules. A remark on some applications will be given at the end of this work.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"16 10","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138601668","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}