Summary: The aim of this thesis is to obtain Riemann-Liouville fractional quantum Hermite-Hadamard inequality by generalizing Hermite-Hadamard inequality, left Riemann-Liouville fractional Hermite-Hadamard inequality and quantum Hermite-Hadamard inequality. In addition, Riemann-Liouville fractional quantum Trapezoid-Midpoint type inequalities were obtained by generalizing the trapezoid-midpoint type inequalities, left Riemann-Liouville Trapezoid-Midpoint type inequalities and quantum trapezoid-midpoint type inequalities. |