New bounds for the Ostrowski-type inequalities via conformable fractional calculus

• Published in: Arabian Journal of Mathematics Vol. 7; no. 4; pp. 317 - 328
• Main Authors: Usta, Fuat, Budak, Hüseyin, Tunç, Tuba, Sarikaya, Mehmet Zeki
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2018; Springer; Springer Nature B.V
• Subjects: Calculus (Mathematics); Equality; Fractional calculus; Inequalities; Inequalities (Mathematics); Integrals; Mathematical research; Mathematics; Mathematics and Statistics; Scientists; Upper bounds; 41A55; 65D30; 41A58; 26D15; 26A33

In this paper, we have introduced the new upper bounds for Ostrowski-type integral inequalities by using conformable fractional integral. In accordance with this purpose, we have benefited from the Taylor expansion for conformable fractional derivatives which was introduced by Anderson.