{"title":"An Operational Calculus Model with the (m,n) - Symmetric Difference","authors":"H. Wysocki","doi":"10.2478/sjpna-2020-0016","DOIUrl":null,"url":null,"abstract":"Abstract The paper determines a non-classical Bittner operational calculus model, in which the derivative is understood as an -symmetric difference Dm,n{x (k)} := {x (k+m)− x (k− n). By considering an operation Dm,n,b{x (k)} := {x (k+m)− b (k)x (k− n), the formulated model has been generalized.","PeriodicalId":34248,"journal":{"name":"Scientific Journal of Polish Naval Academy","volume":"223 1","pages":"67 - 82"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific Journal of Polish Naval Academy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/sjpna-2020-0016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract The paper determines a non-classical Bittner operational calculus model, in which the derivative is understood as an -symmetric difference Dm,n{x (k)} := {x (k+m)− x (k− n). By considering an operation Dm,n,b{x (k)} := {x (k+m)− b (k)x (k− n), the formulated model has been generalized.
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