Conformable fractional Newton-type inequalities with respect to differentiable convex functions

• Published in: Journal of inequalities and applications Vol. 2023; no. 1; pp. 85 - 19
• Main Authors: Ünal, Cihan, Hezenci, Fatih, Budak, Hüseyin
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 16.06.2023; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Calculus; Conformable fractional integrals; Convex analysis; Fractional calculus; Inequalities; Integrals; Investigations; Mathematicians; Mathematics; Mathematics and Statistics; Newton formula; Operators (mathematics); 26A51; Conformable fractional integrals; Fractional calculus; 26D15; Newton formula; 34A08

The authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established equality. In addition, we prove several N...