We propose a new method of investigation of an integral equality associated with tempered fractional integrals. In addition to this, several Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established identity. Moreover, we establish some Newton-type inequalities with the help of H lder and power-mean inequality. Furthermore, several new results are presented by using special choices of obtained inequalities.
HEZENCİ et al. (Sun,) studied this question.