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

^*Corresponding author for this work

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

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.

Original language	English
Article number	624
Journal	Axioms
Volume	11
Issue number	11
DOIs	https://doi.org/10.3390/axioms11110624
State	Published - 8 Nov 2022

Bibliographical note

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

Funding

Funding: This research was funded by Dirección de Investigación from Pontificia Universidad Católica del Ecuador in the research project entitled: Some integrals inequalities and generalized convexity (Algunas desigualdades integrales para funciones con algún tipo de convexidad generalizada y aplicaciones).

Keywords

fractional
functions
preinvex
tempered
trapezium

Access to Document

10.3390/axioms11110624

Cite this

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title = "Tempered Fractional Trapezium Inequalities",

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.",

keywords = "fractional, functions, preinvex, tempered, trapezium",

author = "Miguel Vivas-Cortez and Awan, \{Muhammad Uzair\} and Ullah, \{Muhammad Ubaid\} and Sadia Talib and Noor, \{Muhammad Aslam\} and Noor, \{Khalida Inayat\}",

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AU - Vivas-Cortez, Miguel

AU - Awan, Muhammad Uzair

AU - Ullah, Muhammad Ubaid

AU - Talib, Sadia

AU - Noor, Muhammad Aslam

AU - Noor, Khalida Inayat

PY - 2022/11/8

Y1 - 2022/11/8

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.

AB - 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.

KW - fractional

KW - functions

KW - preinvex

KW - tempered

KW - trapezium

UR - https://www.scopus.com/pages/publications/85147653924

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DO - 10.3390/axioms11110624

M3 - Article

AN - SCOPUS:85147653924

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VL - 11

JO - Axioms

JF - Axioms

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M1 - 624

ER -

Tempered Fractional Trapezium Inequalities

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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