Ostrowski Type Inequalities for $n$-Times Strongly $m$-$MT$-Convex Functions

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Meftah Badreddine; Marrouche Chayma

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Journal Paper

Paper Information

Journal: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS (SCMA) Year:2023 | Volume:20 | Issue:3 Page(s): 81-96

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Information Journal Paper

Title

Ostrowski Type Inequalities for $n$-Times Strongly $m$-$MT$-Convex Functions

Author(s)

Meftah Badreddine | Marrouche Chayma | Issue Writer Certificate

Keywords

Integral inequality

MT-convex functions

Strongly MT-convexity

Strongly m-MT-convexity

Abstract

In this paper, we introduce the class of strongly $m$--$MT$-convex functions based on the identity given in [P. Cerone et al., 1999]. We establish new inequalities of the Ostrowski-type for functions whose $n^{th}$ derivatives are strongly $m$--$MT$-convex functions.

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