TY  - JOUR
TI  - New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications
AB  - 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 $f:[a,b]rightarrow mathbb{R}$ about the midpoint $c=(a+b)/2$ are obtained and the reverse Hardy inequality for convex functions $f:(0,infty )rightarrow (0,infty )$ is established.
AU  - SEKİN, Çağla
AU  - TAMAR, MEHMET EMIN
AU  - ALIYEV, ILHAM
DO  - 10.31801/cfsuasmas.1262668
PY  - 2023
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 72
IS  - 4
SN  - 1303-5991
SP  - 1110
EP  - 1125
DB  - TRDizin
UR  - http://search/yayin/detay/1212479
ER  -