Some New Estimations of Left and Right Interval Fractional Pachpatte’s Type Integral Inequalities via Rectangle Plane

Autor: Azzh Saad Alshehry, Loredana Ciurdariu, Yaser Saber, Amal F. Soliman
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Axioms, Vol 13, Iss 7, p 417 (2024)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms13070417
Popis: Inequalities involving fractional operators have been an active area of research, which is crucial in establishing bounds, estimates, and stability conditions for solutions to fractional integrals. In this paper, we initially presented a new class that is known as coordinated left and right ℏ-pre-invex interval-valued mappings (C·L·R-ℏ-pre-invex Ι·V-M), as well classical convex and nonconvex are also obtained. This newly defined class enabled us to derive novel inequalities, such as Hermite–Hadamard and Pachpatte’s type inequalities. Furthermore, the obtained results allowed us to recapture several special cases of known results for different parameter choices, which can be applications of the main results. Finally, we discussed the validity of the main outcomes.
Databáze: Directory of Open Access Journals
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