TRAPEZIUM-LIKE INEQUALITIES INVOLVING K-TH ORDER DIFFERENTIABLE RΓ-CONVEX FUNCTIONS AND APPLICATIONS

Miguel Vivas-Cortez; Muhammad Uzair Awan; Sadia Talib; Muhammad Aslam Noor; Khalida Inayat Noor

doi:10.3390/sym14030448

TRAPEZIUM-LIKE INEQUALITIES INVOLVING K-TH ORDER DIFFERENTIABLE RΓ-CONVEX FUNCTIONS AND APPLICATIONS

Miguel Vivas-Cortez, Muhammad Uzair Awan^*, Sadia Talib, Muhammad Aslam Noor, Khalida Inayat Noor

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

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Resumen

We introduce the class of R_γ-convex functions and discuss that it relates to some other classes of convexity. We study the class of R_γ-convex functions in the perspective of trapezium-like inequalities, for which we also derive a new integral identity involving a k-th order differentiable function. In order to show the significance of our results, we also discuss several special cases and offer some interesting applications.

Idioma original	Inglés
Número de artículo	448
Publicación	Symmetry
Volumen	14
N.º	3
DOI	https://doi.org/10.3390/sym14030448
Estado	Publicada - 23 feb. 2022

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© 2022 by the authors. Licensee MDPI, Basel, Switzerland.

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abstract = "We introduce the class of Rγ-convex functions and discuss that it relates to some other classes of convexity. We study the class of Rγ-convex functions in the perspective of trapezium-like inequalities, for which we also derive a new integral identity involving a k-th order differentiable function. In order to show the significance of our results, we also discuss several special cases and offer some interesting applications.",

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