Kayar, Z.Kaymakçalan, B.Pelen, N.N.2025-05-102025-05-1020239783111182971978311118519410.1515/9783111182971-0082-s2.0-85176043077https://doi.org/10.1515/9783111182971-008https://hdl.handle.net/20.500.14720/3180The 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 Part