Some Extensions of Ostrowski Type Inequalities for q-symmetric Integrals involving h-Convex Functions

Abstract

This article presents the Ostrowski type inequalities for h-convex functions in the context of
quantum variational calculus using the Montogmery identity involving q-symmetric integrals. Additionally,
H¨older’s and Power mean inequalities involving q-symmetric integral are powerful tools to prove the
results. Certain novel Ostrowski type inequalities for P-convex function, s-convex function, Godunova
levin function, and s-Godunova Levin function are established, which are special instances of inequalities
found for h-convex functions. Some examples are also provided along with graphical illusions to demonstrate
the validity of the new discoveries. Our findings are regarded as generalizations of some known
inequities from the literature.