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Remarkable properties of the sincp,q functions and related integrals

dc.contributor.authorMelkonian, H
dc.contributor.authorTakeuchi, S
dc.date.accessioned2021-03-04T15:28:11Z
dc.date.issued2021-01-26
dc.description.abstractDifferent types of sinc integrals are investigated when the standard sine function is replaced by the generalised sinp,q in two parameters. A striking generalisation of the improper Dirichlet integral is achieved. A second surprising but interesting generalisation of the identity between the Dirichlet integral and that of the integrand sinc2 is discovered. Moreover, an asymptotically sharpened form of Ball's integral inequality is obtained in terms of two parameters.en_GB
dc.description.sponsorshipJSPSen_GB
dc.identifier.citationVol. 499 (1), article 124981en_GB
dc.identifier.doi10.1016/j.jmaa.2021.124981
dc.identifier.grantnumber17K05336en_GB
dc.identifier.urihttp://hdl.handle.net/10871/125018
dc.language.isoenen_GB
dc.publisherElsevieren_GB
dc.rights© 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).en_GB
dc.subjectBall's integral inequalityen_GB
dc.subjectGeneralised trigonometric functionsen_GB
dc.subjectDirichlet integralen_GB
dc.subjectp-Laplace operatoren_GB
dc.subjectAsymptotic expansionen_GB
dc.titleRemarkable properties of the sincp,q functions and related integralsen_GB
dc.typeArticleen_GB
dc.date.available2021-03-04T15:28:11Z
dc.identifier.issn0022-247X
dc.descriptionThis is the final version. Available on open access from Elsevier via the DOI in this recorden_GB
dc.identifier.journalJournal of Mathematical Analysis and Applicationsen_GB
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0en_GB
rioxxterms.versionVoRen_GB
rioxxterms.licenseref.startdate2021-01-26
rioxxterms.typeJournal Article/Reviewen_GB
refterms.dateFCD2021-03-04T15:25:53Z
refterms.versionFCDVoR
refterms.dateFOA2021-03-04T15:28:20Z
refterms.panelBen_GB


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© 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Except where otherwise noted, this item's licence is described as © 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).