- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 70 Issue: 2
- Chebyshev inequality on conformable derivative
Chebyshev inequality on conformable derivative
Authors : Aysun Selçuk Kizilsu, Ayşe Feza Güvenilir
Pages : 900-909
Doi:10.31801/cfsuasmas.773392
View : 8 | Download : 5
Publication Date : 2021-12-31
Article Type : Research
Abstract :Integral inequalities are very important in applied sciences. Chebyshev's integral inequality is widely used in applied mathematics. First of all, some necessary definitions and results regarding conformable derivative are given in this article. Then we give Chebyshev inequality for simultaneously positive (or negative) functions using the conformable fractional derivative. We used the Gronwall inequality to prove our results, unlike other studies in the literature.Keywords : Conformable Derivative, conformable integral, Chebyshev inequality