Generalized Diamond Alpha Bennett-Leindler Dynamic Inequalities
| dc.contributor.author | Kaymakçalan, B. | |
| dc.contributor.author | Pelen, N.N. | |
| dc.contributor.author | Kayar, Z. | |
| dc.date.accessioned | 2024-06-03T13:08:14Z | |
| dc.date.accessioned | 2025-09-18T13:25:59Z | |
| dc.date.available | 2024-06-03T13:08:14Z | |
| dc.date.available | 2025-09-18T13:25:59Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | The dual results; delta and nabla inequalities and their special cases; continuous and discrete inequalities are unified into diamond alpha case and new forms of such results as well as new diamond alpha Bennett-Leindler-type dynamic inequalities are established by developing a novel method, which does not require the Integration by Parts Formula and the Fundamental Theorem of Calculus. These theorems are standard arguments in the proofs of Bennett-Leindler-type dynamic inequalities in the delta and nabla approaches but do not follow naturally in the diamond alpha calculus. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved. | en_US |
| dc.identifier.citation | Kayar, Zeynep; Kaymakçalan, Billur; Pelen, Neslihan Nesliye. Generalized diamond alpha bennett-leindler-type dynamic inequalities, in Dynamic Calculus and Equations on Time Scales, pp. 259-293, 2023. | en_US |
| dc.identifier.doi | 10.1515/9783111182971-008 | |
| dc.identifier.isbn | 9783111185194 | |
| dc.identifier.isbn | 9783111182971 | |
| dc.identifier.scopus | 2-s2.0-85176043077 | |
| dc.identifier.uri | https://doi.org/10.1515/9783111182971-008 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12468 | |
| dc.language.iso | en | en_US |
| dc.publisher | De Gruyter | en_US |
| dc.relation.ispartof | Dynamic Calculus and Equations on Time Scales | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Generalized Diamond Alpha Bennett-Leindler Dynamic Inequalities | en_US |
| dc.title | Generalized diamond alpha bennett-leindler-type dynamic inequalities | tr_TR |
| dc.type | Book Part | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Kayar Z., Department of Mathematics, Van Yüzüncü Yil University, Van, Turkey; Kaymakçalan B., Department of Mathematics, Çankaya University, Ankara, 06810, Turkey; Pelen N.N., Department of Mathematics, Ondokuz Mayis University, Samsun, Turkey | en_US |
| gdc.description.endpage | 293 | en_US |
| gdc.description.publicationcategory | Kitap Bölümü - Uluslararası | en_US |
| gdc.description.startpage | 259 | en_US |
| gdc.identifier.openalex | W4386449298 | |
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| gdc.publishedmonth | 9 | |
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| gdc.virtual.author | Kaymakçalan, Billur | |
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