Bounds for the Convex Combination of Contra-harmonic and Harmonic Means by the Generalized Logarithmic Mean
dc.contributor.author | Sonubon A. | |
dc.contributor.author | Orankitjaroen S. | |
dc.contributor.author | Nonlaopon K. | |
dc.contributor.other | Mahidol University | |
dc.date.accessioned | 2023-06-18T17:27:57Z | |
dc.date.available | 2023-06-18T17:27:57Z | |
dc.date.issued | 2022-07-01 | |
dc.description.abstract | We verify the optimal upper bound and optimal lower bound for the convex combination of contra-harmonic and harmonic means by the generalized logarithmic mean Lp when p is of the linear form p = 2(1 − c)α + c and p is of the reciprocal of linear form p = 1/[2(1 − c)α + c] respectively. We prove that(Formula Presented)where C(a,b) and H(a,b) are contra-harmonic and harmonic means. | |
dc.identifier.citation | European Journal of Pure and Applied Mathematics Vol.15 No.3 (2022) , 1120-1143 | |
dc.identifier.doi | 10.29020/nybg.ejpam.v15i3.4444 | |
dc.identifier.eissn | 13075543 | |
dc.identifier.scopus | 2-s2.0-85136297214 | |
dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/20.500.14594/85111 | |
dc.rights.holder | SCOPUS | |
dc.subject | Mathematics | |
dc.title | Bounds for the Convex Combination of Contra-harmonic and Harmonic Means by the Generalized Logarithmic Mean | |
dc.type | Article | |
mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85136297214&origin=inward | |
oaire.citation.endPage | 1143 | |
oaire.citation.issue | 3 | |
oaire.citation.startPage | 1120 | |
oaire.citation.title | European Journal of Pure and Applied Mathematics | |
oaire.citation.volume | 15 | |
oairecerif.author.affiliation | Khon Kaen University | |
oairecerif.author.affiliation | Mahidol University |