A new approach to Simpson-type inequality with proportional Caputo-hybrid operator
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this article, we begin by deriving a new identity with the help of twice-differentiable convex functions for the proportional Caputo-hybrid operator. Then, using this newly uncovered identity, we obtain various integral inequalities associated with the Simpson's integral inequality for proportional Caputo-hybrid operator. Moreover, we indicate that the acquired results improve and refine certain existing discoveries in the realm of integral inequalities. Finally, for a better understanding of the newly obtained inequalities, we establish illustrative examples and visualize them through their corresponding graphs.
Description
Keywords
convex functions, proportional Caputo-hybrid operator, Simpson-type inequalities
Journal or Series
Mathematical Methods in the Applied Sciences
WoS Q Value
N/A
Scopus Q Value
Q1
