Ostrowski type inequalities for \(s\)-convex functions via \(q\)-integrals
Summary: The new outcomes of the present paper are \(q\)-analogues (\(q\) stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for \(s\)-convex mappings. Some new bounds of Ostrowski type functionals are obtained by using Hölder, Minkowski, and power mean inequalities via quantum calculus. Special cases of new results include existing results from the literature.
scientific article; zbMATH DE number 7466795
scientific article