Browsing by Author "Tamar, Mehmet Emin"

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    New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications
    (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