Browsing by Author "Aliyev, Ilham A."

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    New Proofs of Fejer's and Discrete Hermite-Hadamard Inequalities With Applications
    (Ankara Univ, Fac Sci, 2023) Sekin, Cagla; Tamar, Mehmet Emin; Aliyev, Ilham A.
    New proofs of the classical Fejer inequality and discrete Hermite-Hadamard 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, infinity) -> (0, infinity) is established.