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Some new generalizations for GA–convex functions

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Özdemir, Muhamet Emin

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Akdemir, Ahmet Ocak
Ardıç, Merve Avcı
Yalçın, Abdullatif

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Univ Nis

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Abstract

In this paper, firstly we prove an integral identity that one can derive several new equalities for special selections of n from this identity : Secondly, we established more general integral inequalities for functions whose second derivatives of absolute values are GA-convex functions based on this equality.

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Keywords

Mathematics, GA-convex functions, Logarithmic mean, Holder inequality, Power-mean inequality

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Akdemir, A. O. vd. (2017). ''Some new generalizations for GA–convex functions''. Filomat, 31(4), 1009-1016.

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