Ostrowski, Grüss, Cebysev type inequalities for functions whose second derivatives belong to Lp(a, b) and whose modulus of second derivatives are convex

RAFIQ, ARIF; AHMAD, FAROOQ

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Revista Colombiana de Matemáticas

Print version ISSN 0034-7426

Abstract

RAFIQ, ARIF and AHMAD, FAROOQ. Ostrowski, Grüss, Cebysev type inequalities for functions whose second derivatives belong to L_p(a, b) and whose modulus of second derivatives are convex. Rev.colomb.mat. [online]. 2007, vol.41, n.1, pp.1-13. ISSN 0034-7426.

Ostrowski, Grüss, Cebysev type inequalities involving functions whose second derivatives belong to L_p(a,b) and whose modulus of second derivatives are convex are established. The results provide better bounds than those currently available in the literature.

Keywords : Ostrowski Grüss Cebysev inequalities; modulus of second derivative convex; convex function.

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