Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Copyright policy )Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Abstract In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s inequality. Related Ostrowski type inequalities are also provided. Bounds for the reminders in new identities are given by using the Chebyshev and Grüss type inequalities.
grüss-type inequality, Ostrowski-type inequality, Grüss-type inequality, ostrowski-type inequality, Montgomery identity, Convexity of real functions in one variable, generalizations, n-convex functions, 26d15, Steffensen's inequality, n-convex functions, Montgomery identity, Ostrowski-type inequality, Grüss-type inequality, steffensen’s inequality, QA1-939, \(n\)-convex functions, 26a51, Inequalities for sums, series and integrals, Steffensen's inequality, n-convex functions, Montgomery identity, Steffensen's inequality, Steffensen inequality, Mathematics, montgomery identity
grüss-type inequality, Ostrowski-type inequality, Grüss-type inequality, ostrowski-type inequality, Montgomery identity, Convexity of real functions in one variable, generalizations, n-convex functions, 26d15, Steffensen's inequality, n-convex functions, Montgomery identity, Ostrowski-type inequality, Grüss-type inequality, steffensen’s inequality, QA1-939, \(n\)-convex functions, 26a51, Inequalities for sums, series and integrals, Steffensen's inequality, n-convex functions, Montgomery identity, Steffensen's inequality, Steffensen inequality, Mathematics, montgomery identity
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