Tempered Fractional Trapezium Inequalities

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

doi:10.3390/axioms11110624

Tempered Fractional Trapezium Inequalities

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

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

Resumen

The main objective of this paper is to derive some new fractional analogs of trapeziumlike inequalities essentially using the class of preinvex functions and the concepts of tempered fractional integrals. We discuss some special cases that show that our results are unifying. In order to demonstrate the significance of our results, we present some applications to means. To check the validity of our results, we also give some numerical examples.

Idioma original	Inglés
Número de artículo	624
Publicación	Axioms
Volumen	11
N.º	11
DOI	https://doi.org/10.3390/axioms11110624
Estado	Publicada - 8 nov 2022

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Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.

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10.3390/axioms11110624

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abstract = "The main objective of this paper is to derive some new fractional analogs of trapeziumlike inequalities essentially using the class of preinvex functions and the concepts of tempered fractional integrals. We discuss some special cases that show that our results are unifying. In order to demonstrate the significance of our results, we present some applications to means. To check the validity of our results, we also give some numerical examples.",

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AU - Ullah, Muhammad Ubaid

AU - Talib, Sadia

AU - Noor, Muhammad Aslam

AU - Noor, Khalida Inayat

PY - 2022/11/8

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N2 - The main objective of this paper is to derive some new fractional analogs of trapeziumlike inequalities essentially using the class of preinvex functions and the concepts of tempered fractional integrals. We discuss some special cases that show that our results are unifying. In order to demonstrate the significance of our results, we present some applications to means. To check the validity of our results, we also give some numerical examples.

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KW - fractional

KW - functions

KW - preinvex

KW - tempered

KW - trapezium

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