On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives

	On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives
International Journal of Nonlinear Analysis and Applications
مقاله 6، دوره 9، شماره 1، آذر 2018، صفحه 69-81 اصل مقاله (384.04 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.10724.1521
نویسندگان
Ghulam Farid^* ¹؛ Anum Javed²
¹Mathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
²Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
چکیده
In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.
کلیدواژه‌ها
Convex functions؛ Hadamard inequality؛ Fejer-Hadamard inequality؛ Caputo fractional derivatives
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