Yogesh J. Bagul, Sumedh B. Thool, C. Chesneau, R. Dhaigude
{"title":"Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions","authors":"Yogesh J. Bagul, Sumedh B. Thool, C. Chesneau, R. Dhaigude","doi":"10.2478/amsil-2022-0019","DOIUrl":null,"url":null,"abstract":"Abstract Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended. Hyperbolic versions are also established, along with extensions.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"37 1","pages":"1 - 15"},"PeriodicalIF":0.4000,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematicae Silesianae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/amsil-2022-0019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended. Hyperbolic versions are also established, along with extensions.