On refinements of some integral inequalities using improved power‐mean integral inequalities
Copyright policy )On refinements of some integral inequalities using improved power‐mean integral inequalities
AbstractIn this study, using power‐mean inequality and improved power‐mean integral inequality better approach than power‐mean inequality and an identity for differentiable functions, we get inequalities for functions whose derivatives in absolute value at certain power are convex. Numerically, it is shown that improved power‐mean integral inequality gives better approach than power‐mean inequality. Some applications to special means of real numbers and some error estimates for the midpoint formula are also given.
convex function, improved power-mean inequality, Hermite-Hadamard's inequality, midpoint formula, Partial differential equations, Numerical analysis
convex function, improved power-mean inequality, Hermite-Hadamard's inequality, midpoint formula, Partial differential equations, Numerical analysis
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