The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and together with an integral identity, some new Simpson-type inequalities have been obtained for trigonometric convex functions. We also give some applications for special means.
Convex function trigonometrically convex function Simpson type inequality Hölder inequality Power mean inequality.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 29 Aralık 2020 |
Gönderilme Tarihi | 9 Haziran 2020 |
Kabul Tarihi | 18 Eylül 2020 |
Yayımlandığı Sayı | Yıl 2020 |