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.
Fejer inequality convex functions discrete Hermite-Hadamard inequality Jensen inequality Hardy inequality
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 29 Aralık 2023 |
Gönderilme Tarihi | 9 Mart 2023 |
Kabul Tarihi | 22 Haziran 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 72 Sayı: 4 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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