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In the present paper, the notion of generalized(  s  ,  m  ){(s,m)}   -preinvex Godunova–Levin function of second kind is introduced, and some new integral inequalities involving generalized(  s  ,  m  ){(s,m)}   -preinvex Godunova–Levin functions of second kind along with beta function are given. By using a new identity for fractional integrals, some new estimates on generalizations of Hermite–Hadamard, Ostrowski and Simpson type inequalities for generalized(  s  ,  m  ){(s,m)}   -preinvex Godunova–Levin functions of second kind via Riemann–Liouville fractional integral are established.

Generalization of different type integral inequalities for generalized (𝑠, 𝑚)-preinvex Godunova–Levin functions

Generalization of different type integral inequalities for generalized (𝑠, 𝑚)-preinvex Godunova–Levin functions