Tempered Fractional Trapezium Inequalities

Tempered Fractional Trapezium Inequalities

The main objective of this paper is to derive some new fractional analogs of trapezium-like 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...

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Veröffentlicht in:Axioms 2022-11, Vol.11 (11), p.624
Hauptverfasser: Vivas-Cortez, Miguel, Awan, Muhammad Uzair, Ullah, Muhammad Ubaid, Talib, Sadia, Noor, Muhammad Aslam, Noor, Khalida Inayat
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Convex functions
fractional
Fractional calculus
functions
Inequalities
Inequalities (Mathematics)
Integrals
Mathematical research
preinvex
tempered
trapezium
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Beschreibung
Zusammenfassung:The main objective of this paper is to derive some new fractional analogs of trapezium-like 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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms11110624