Kayar, ZeynepKaymakçalan, BillurPelen, Neslihan Nesliye2024-06-032024-06-032023-09-18Kayar, 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, 2023.97831111829719783111185194http://hdl.handle.net/20.500.12416/8468The 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.enginfo:eu-repo/semantics/closedAccessbookPart259293