(Ankara Üniv. Fen Fakültesi, 2023) Sekin, Çağla; Tamar, Mehmet Emin; Aliyev, İlham A.; 0000-0001-8933-8769; AGÜ; Tamar, Mehmet Emin
New 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
established