Generalized Steffensen Type Inequalities Involving Convex Functions
Copyright policy )Generalized Steffensen Type Inequalities Involving Convex Functions
In this paper generalized Steffensen type inequalities related to the class of functions that are “convex at pointc” are derived and as a consequence inequalities involving the class of convex functions are obtained. Moreover, linear functionals from the difference of the right- and left-hand side of the obtained generalized inequalities are constructed and new families of exponentially convex functions related to constructed functionals are derived.
convex function, convex functions, Steffensen type inequalities, exponentially convex functions, Steffensen's inequality; generalizations; convex function, Convexity of real functions in one variable, generalizations, QA1-939, Inequalities for sums, series and integrals, Steffensen's inequality, generalizations, Mathematics
convex function, convex functions, Steffensen type inequalities, exponentially convex functions, Steffensen's inequality; generalizations; convex function, Convexity of real functions in one variable, generalizations, QA1-939, Inequalities for sums, series and integrals, Steffensen's inequality, generalizations, Mathematics
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