New Ostrowski-Type Inequalities for Generalized Convex Functions via Conformable Fractional Derivatives

Miguel Vivas-Cortez; Janneth Velasco-Velasco; Harold David Jarrín

doi:10.18576/amis/190514

New Ostrowski-Type Inequalities for Generalized Convex Functions via Conformable Fractional Derivatives

Miguel Vivas-Cortez
, Janneth Velasco-Velasco
, Harold David Jarrín

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We have discovered new Ostrowski-type inequalities applicable to functions whose modulus of the conformable fractional derivative is relatively convex. This advancement constitutes a generalization of earlier results established for convex functions by other authors.

Original language	English
Pages (from-to)	1141-1152
Number of pages	12
Journal	Applied Mathematics and Information Sciences
Volume	19
Issue number	5
DOIs	https://doi.org/10.18576/amis/190514
State	Published - Sep 2025

Keywords

Conformable fractional derivative
Ostrowski inequality
relative s-convex functions

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10.18576/amis/190514

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title = "New Ostrowski-Type Inequalities for Generalized Convex Functions via Conformable Fractional Derivatives",

abstract = "We have discovered new Ostrowski-type inequalities applicable to functions whose modulus of the conformable fractional derivative is relatively convex. This advancement constitutes a generalization of earlier results established for convex functions by other authors.",

keywords = "Conformable fractional derivative, Ostrowski inequality, relative s-convex functions",

author = "Miguel Vivas-Cortez and Janneth Velasco-Velasco and Jarr{\'i}n, \{Harold David\}",

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year = "2025",

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AU - Jarrín, Harold David

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AB - We have discovered new Ostrowski-type inequalities applicable to functions whose modulus of the conformable fractional derivative is relatively convex. This advancement constitutes a generalization of earlier results established for convex functions by other authors.

KW - Conformable fractional derivative

KW - Ostrowski inequality

KW - relative s-convex functions

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DO - 10.18576/amis/190514

M3 - Artículo

AN - SCOPUS:105022214799

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JO - Applied Mathematics and Information Sciences

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ER -

New Ostrowski-Type Inequalities for Generalized Convex Functions via Conformable Fractional Derivatives

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Keywords

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