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Generalized inequalities of Simpson-like type for functions whose derivatives in absolute value are (alpha; m)-convex

Jaekeun Park


In this article, we establish some new generalized inequalities of Simpson-like type based on differentiable (alpha;m)-convex functions. This contributes to new better error estimates for some numerical quadrature rules than presented already.


Simpson’s inequality; (alpha;m)-convex function; Holder inequality; Power mean inequality.

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