Abstract
Se establecen algunas nuevas desigualdades de Ostrowski para asignaciones n-diferenciables que son φ-convexas
Highlights
Holds for all x, y ∈ I and t ∈ [0, 1], where I is an interval of R and φ : R × R → R is a bifunction
Convex functions, partial orderings, and statistical applications, no. 187, Mathematics in Science and Engineering, Academic Press, Inc., Boston, MA, 1992
Summary
In 1938, A.M. Ostrowski proved an interesting integral inequality, estimating the absolute value of the derivative of a differentiable function by its integral mean as follows. [2] Let f : I → R, where I ⊆ R is an interval, be a mapping in the interior I◦ of I, and a, b ∈ I◦, with a < b. A number of authors have written about generalizations, extensions and variants of inequality (1)
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