Öz
In this paper, we first construct a new generalization of n-polynomial convex function. By making use of this construction, we derive certain inequalities for this new generalization and show that the first derivative in absolute value corresponds to a new class of n polynomial convexity. Also, we see that the obtained results in the paper while comparing
with Hölder, Hölder-İşcan and power-mean, improved-power-mean integral inequalities show that the results give a better approach than the others. Finally, we conclude our paper with applications containing some means.
Anahtar Kelimeler
Convex function generalized n-polynomial convexity Hermite-Hadamard inequality
Kaynakça
- 1] P. Agarwal, M. Kadakal, İ. İşcan and Y.M. Chu, Better approaches for n-times differentiable convex functions, Mathematics, 8 (6), 950, 2020.
Öz
Kaynakça
- 1] P. Agarwal, M. Kadakal, İ. İşcan and Y.M. Chu, Better approaches for n-times differentiable convex functions, Mathematics, 8 (6), 950, 2020.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Reel ve Kompleks Fonksiyonlar |
| Bölüm | Matematik |
| Yazarlar | |
| Erken Görünüm Tarihi | 10 Ocak 2024 |
| Yayımlanma Tarihi | |
| Yayımlandığı Sayı | Yıl 2024 Erken Görünüm |