Fractional identities involving exponential kernel and associated fractional trapezium like inequalities

Miguel Vivas-Cortez; Muhammad Uzair Awan; Sadia Talib; Guoju Ye; Muhammad Aslam Noor

doi:10.3934/math.2022567

Fractional identities involving exponential kernel and associated fractional trapezium like inequalities

Miguel Vivas-Cortez, Muhammad Uzair Awan^*, Sadia Talib, Guoju Ye, Muhammad Aslam Noor

^*Corresponding author for this work

Faculty of Exact and Natural Sciences

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

1 Scopus citations

Abstract

The main objective of this paper is to derive some new variants of trapezium like inequalities involving k-fractional integrals with exponential kernel essentially using the definition of preinvex functions. Fractional bounds associated with some new fractional integral identities are also obtained. In order to show the significance of our main results, we also discuss applications to means and q-digamma functions. We discuss special cases which show that our results are quite unifying.

Original language	English
Pages (from-to)	10195-10214
Number of pages	20
Journal	AIMS Mathematics
Volume	7
Issue number	6
DOIs	https://doi.org/10.3934/math.2022567
State	Published - 22 Mar 2022

Bibliographical note

Publisher Copyright:
© 2022 the Author(s), licensee AIMS Press.

Funding

The authors are thankful to the editor and anonymous reviewers for their valuable comments and suggestions. 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

convex
exponential
fractional
preinvex
trapezium inequalities

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10.3934/math.2022567

Cite this

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AU - Noor, Muhammad Aslam

PY - 2022/3/22

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Fractional identities involving exponential kernel and associated fractional trapezium like inequalities

Abstract

Bibliographical note

Funding

Keywords

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