Sekin, ÇağlaTamar, Mehmet EminAliyev, İlham A.2024-02-222024-02-2220231303-59912618-6470http://doi.org/10.31801/cfsuasmas.1262668https://hdl.handle.net/20.500.12573/1957New proofs of the classical Fejer inequality and discrete HermiteHadamard inequality (HH) are presented and several applications are given, including (HH)-type inequalities for the functions, whose derivatives have inflection points. Morever, some estimates from below and above for the first moments of functions f : [a, b] → R about the midpoint c = (a+b)/2 are obtained and the reverse Hardy inequality for convex functions f : (0, ∞) → (0, ∞) is establishedenginfo:eu-repo/semantics/openAccessFejer inequalityconvex functionsdiscrete Hermite-Hadamard inequalityJensen inequalityHardy inequalityarticle72411101125