New Weighted Inequalities for Higher Order Derivatives and Applications

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Tarih

2018

Dergi Başlığı

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Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We establish a new Ostrowski type inequality for (n + 1)-times differentiable mappings which are bounded. Then, some new inequalities of Hermite-Hadamard type are obtained for functions whose (n + 1) th derivatives in absolute value are convex. Spacial cases of these inequalities reduce some well known inequalities. With the help of obtained inequalities, we give applications for the kth-moment of random variables.

Açıklama

WOS: 000461182200027

Anahtar Kelimeler

Hermite-Hadamard inequality, Ostrowski inequality, Midpoint inequality, Convex function, Random variables

Kaynak

Filomat

WoS Q Değeri

Q2

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Cilt

32

Sayı

12

Künye