On fractional Newton inequalities via coordinated convex functions
Symmetry, 2022•mdpi.com
In this paper, firstly, we present an integral identity for functions of two variables via Riemann–
Liouville fractional integrals. Then, a Newton-type inequality via partially differentiable
coordinated convex mappings is derived by taking the absolute value of the obtained
identity. Moreover, several inequalities are obtained with the aid of the Hölder and power
mean inequality. In addition, we investigate some Newton-type inequalities utilizing
mappings of two variables with bounded variation. Finally, we gave some mathematical …
Liouville fractional integrals. Then, a Newton-type inequality via partially differentiable
coordinated convex mappings is derived by taking the absolute value of the obtained
identity. Moreover, several inequalities are obtained with the aid of the Hölder and power
mean inequality. In addition, we investigate some Newton-type inequalities utilizing
mappings of two variables with bounded variation. Finally, we gave some mathematical …
In this paper, firstly, we present an integral identity for functions of two variables via Riemann–Liouville fractional integrals. Then, a Newton-type inequality via partially differentiable coordinated convex mappings is derived by taking the absolute value of the obtained identity. Moreover, several inequalities are obtained with the aid of the Hölder and power mean inequality. In addition, we investigate some Newton-type inequalities utilizing mappings of two variables with bounded variation. Finally, we gave some mathematical examples and their graphical behavior to validate the obtained inequalities.
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