A generalization of Hermite-Hadamard’s inequality
Copyright policy )A generalization of Hermite-Hadamard’s inequality
In literature the Hermite-Hadamard inequality was eligible for many reasons, one of the most surprising and interesting that the Hermite-Hadamard inequality combine the midpoint and trapezoid formulae in an inequality. In this work, a Hermite-Hadamard like inequality that combines the composite trapezoid and composite midpoint formulae is proved. So that, the classical Hermite-Hadamard inequality becomes a special case of the presented result. Some Ostrowski's type inequalities for convex functions are proved as well.
14 pages, no figures
- Irbid National University Jordan
convex functions, Convexity of real functions in one variable, generalizations, Hermite-Hadamard inequality, Mathematics - Classical Analysis and ODEs, 26A51, 26D15, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Inequalities for sums, series and integrals, Ostrowski inequality
convex functions, Convexity of real functions in one variable, generalizations, Hermite-Hadamard inequality, Mathematics - Classical Analysis and ODEs, 26A51, 26D15, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Inequalities for sums, series and integrals, Ostrowski inequality
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!