New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals

Abstract

Abstract This paper gives some novel generalizations by considering the generalized conformable fractional integrals operator for reverse Minkowski type and reverse Hölder type inequalities. Furthermore, novel consequences connected with this inequality, together with statements and confirmation of various variants for the advocated generalized conformable fractional integral operator, are elaborated. Moreover, our derived results are provided to show comparisons of convergence between old and modified operators towards a function under different parameters and conditions. The numerical approximations of our consequence have several utilities in applied sciences and fractional integro-differential equations.

Keywords

• Integral inequality
• Minkowski inequality
• Reverse Minkowski inequality
• Conformable integrals
• Generalized conformable fractional integral operators