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Article: Two Ostrowski type inequalities for the stieltjes integral of monotonic functions
Title | Two Ostrowski type inequalities for the stieltjes integral of monotonic functions |
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Authors | |
Issue Date | 2007 |
Publisher | Australian Mathematical Society. The Journal's web site is located at http://www.austms.org.au/Publ/Bulletin/ |
Citation | Bulletin Of The Australian Mathematical Society, 2007, v. 75 n. 2, p. 299-311 How to Cite? |
Abstract | Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonie integrators and Holder continuous integrands while the second considers the dual case, that is, for monotonie integrands and Holder continuous integrators. Applications for the mid-point inequality that are useful in the numerical analysis of Stieltjes integrals are exhibited. Some connections with the generalised trapezoidal rule are also presented. Copyright Clearance Centre, Inc. |
Persistent Identifier | http://hdl.handle.net/10722/75373 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.392 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cheung, WS | en_HK |
dc.contributor.author | Dragomir, SS | en_HK |
dc.date.accessioned | 2010-09-06T07:10:30Z | - |
dc.date.available | 2010-09-06T07:10:30Z | - |
dc.date.issued | 2007 | en_HK |
dc.identifier.citation | Bulletin Of The Australian Mathematical Society, 2007, v. 75 n. 2, p. 299-311 | en_HK |
dc.identifier.issn | 0004-9727 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75373 | - |
dc.description.abstract | Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonie integrators and Holder continuous integrands while the second considers the dual case, that is, for monotonie integrands and Holder continuous integrators. Applications for the mid-point inequality that are useful in the numerical analysis of Stieltjes integrals are exhibited. Some connections with the generalised trapezoidal rule are also presented. Copyright Clearance Centre, Inc. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Australian Mathematical Society. The Journal's web site is located at http://www.austms.org.au/Publ/Bulletin/ | en_HK |
dc.relation.ispartof | Bulletin of the Australian Mathematical Society | en_HK |
dc.rights | Bulletin of the Australian Mathematical Society. Copyright © Australian Mathematical Society. | en_HK |
dc.title | Two Ostrowski type inequalities for the stieltjes integral of monotonic functions | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0004-9727&volume=75&spage=299&epage=311&date=2007&atitle=Two+Ostrowski+Type+Inequalities+for+the+Stieltjes+Integral+of+Monotonic+Functions | en_HK |
dc.identifier.email | Cheung, WS:wscheung@hkucc.hku.hk | en_HK |
dc.identifier.authority | Cheung, WS=rp00678 | en_HK |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1017/S0004972700039228 | - |
dc.identifier.scopus | eid_2-s2.0-34248357238 | en_HK |
dc.identifier.hkuros | 138763 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-34248357238&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 75 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 299 | en_HK |
dc.identifier.epage | 311 | en_HK |
dc.identifier.isi | WOS:000246026100013 | - |
dc.publisher.place | Australia | en_HK |
dc.identifier.scopusauthorid | Cheung, WS=7202743118 | en_HK |
dc.identifier.scopusauthorid | Dragomir, SS=7005468422 | en_HK |
dc.identifier.issnl | 0004-9727 | - |