File Download
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.3934/math.2020366
- Scopus: eid_2-s2.0-85088020452
- WOS: WOS:000564202100015
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: On Opial-Traple type inequalities for β-partial derivatives
Title | On Opial-Traple type inequalities for β-partial derivatives |
---|---|
Authors | |
Keywords | β-derivative partial derivative β-partial derivative Cauchy-Schwarz inequality |
Issue Date | 2020 |
Publisher | AIMS Press. The Journal's web site is located at https://www.aimspress.com/journal/Math |
Citation | AIMS Mathematics, 2020, v. 5 n. 6, p. 5716-5723 How to Cite? |
Abstract | In the paper, we introduce a new partial derivative call it β-partial derivatives as the most natural extensions of the limit definitions of the partial derivative and the β-derivative, which obeys classical properties including: continuity, linearity, product rule, quotient rule, power rule, chain rule and vanishing derivatives for constant functions. As applications, we establish some new Opial-Traple type inequalities for the β-partial derivatives. |
Persistent Identifier | http://hdl.handle.net/10722/288094 |
ISSN | 2021 Impact Factor: 2.739 2020 SCImago Journal Rankings: 0.329 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhao, CJ | - |
dc.contributor.author | Cheung, WS | - |
dc.date.accessioned | 2020-10-05T12:07:47Z | - |
dc.date.available | 2020-10-05T12:07:47Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | AIMS Mathematics, 2020, v. 5 n. 6, p. 5716-5723 | - |
dc.identifier.issn | 2473-6988 | - |
dc.identifier.uri | http://hdl.handle.net/10722/288094 | - |
dc.description.abstract | In the paper, we introduce a new partial derivative call it β-partial derivatives as the most natural extensions of the limit definitions of the partial derivative and the β-derivative, which obeys classical properties including: continuity, linearity, product rule, quotient rule, power rule, chain rule and vanishing derivatives for constant functions. As applications, we establish some new Opial-Traple type inequalities for the β-partial derivatives. | - |
dc.language | eng | - |
dc.publisher | AIMS Press. The Journal's web site is located at https://www.aimspress.com/journal/Math | - |
dc.relation.ispartof | AIMS Mathematics | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | β-derivative | - |
dc.subject | partial derivative | - |
dc.subject | β-partial derivative | - |
dc.subject | Cauchy-Schwarz inequality | - |
dc.title | On Opial-Traple type inequalities for β-partial derivatives | - |
dc.type | Article | - |
dc.identifier.email | Cheung, WS: wscheung@hku.hk | - |
dc.identifier.authority | Cheung, WS=rp00678 | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.3934/math.2020366 | - |
dc.identifier.scopus | eid_2-s2.0-85088020452 | - |
dc.identifier.hkuros | 315729 | - |
dc.identifier.volume | 5 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | 5716 | - |
dc.identifier.epage | 5723 | - |
dc.identifier.isi | WOS:000564202100015 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 2473-6988 | - |