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

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Summary

Introduction

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)

BADREDDINE MEFTAH
We also recall some definitions
Revista Colombiana de Matematicas
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