Some Novel Versions of Fractional Hermite–Hadamard-Mercer Type Inequalities with Matrix Applications
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Keywords:
Generalized fractional integral operator, H–H-Mercer inequality, Inter- val-valued function, Convexity, Matrix applications.Abstract
In this study, we explore several fractional Hermite–Hadamard (H–H)-Mercer inequalities for interval-valued functions through the use of a generalized fractional integral operator (GFIO). Furthermore, we examine new variations of the H–H-Mercer inequality in relation to GFIO. Various examples are included to support our assertions. The results could offer new insights into a broad spectrum of integral inequalities for fractional fuzzy systems within the framework of interval analysis, along with the optimization issues they raise. Moreover, some applications on matrices are illustrated.
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