A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions
dc.authorid | Budak, Huseyin/0000-0001-8843-955X | |
dc.contributor.author | Ali, Muhammad Aamir | |
dc.contributor.author | Budak, Huseyin | |
dc.contributor.author | Zhang, Zhiyue | |
dc.date.accessioned | 2021-12-01T18:48:47Z | |
dc.date.available | 2021-12-01T18:48:47Z | |
dc.date.issued | 2021 | |
dc.department | [Belirlenecek] | en_US |
dc.description.abstract | In this paper, we prove two identities involving quantum derivatives, quantum integrals, and certain parameters. Using the newly proved identities, we prove new inequalities of Simpson's and Newton's type for quantum differentiable convex functions under certain assumptions. Moreover, we discuss the special cases of our main results and obtain some new and existing Simpson's type inequalities, Newton's type inequalities, midpoint type inequalities, and trapezoidal type inequalities. | en_US |
dc.description.sponsorship | National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11971241] | en_US |
dc.description.sponsorship | National Natural Science Foundation of China, Grant/Award Number: 11971241 | en_US |
dc.identifier.doi | 10.1002/mma.7889 | |
dc.identifier.issn | 0170-4214 | |
dc.identifier.issn | 1099-1476 | |
dc.identifier.scopus | 2-s2.0-85117687946 | en_US |
dc.identifier.scopusquality | Q1 | en_US |
dc.identifier.uri | https://doi.org/10.1002/mma.7889 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12684/10604 | |
dc.identifier.wos | WOS:000710085000001 | en_US |
dc.identifier.wosquality | Q1 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Wiley | en_US |
dc.relation.ispartof | Mathematical Methods In The Applied Sciences | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | convex functions | en_US |
dc.subject | Newton's inequalities | en_US |
dc.subject | quantum calculus | en_US |
dc.subject | Simpson's inequalities | en_US |
dc.subject | Midpoint-Type Inequalities | en_US |
dc.subject | Hermite-Hadamard Inequalities | en_US |
dc.subject | Integral-Inequalities | en_US |
dc.title | A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions | en_US |
dc.type | Article | en_US |
Dosyalar
Orijinal paket
1 - 1 / 1
Yükleniyor...
- İsim:
- 10604.pdf
- Boyut:
- 449.17 KB
- Biçim:
- Adobe Portable Document Format
- Açıklama:
- Tam Metin / Full Text