Kaymakçalan, B.Pelen, N.N.Kayar, Z.2024-06-032025-09-182024-06-032025-09-182023Kayar, 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, 2023.97831111851949783111182971https://doi.org/10.1515/9783111182971-008https://hdl.handle.net/20.500.12416/12468The 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.eninfo:eu-repo/semantics/closedAccessBook Part10.1515/9783111182971-0082-s2.0-85176043077