Geodesic
On the novel Hermite-Hadamard inequalities for composite inverse functions
Filomat, Tome 37 (2023) no. 9, p. 2995

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DOI

The goal of this research is to discover some identities in the general form of the sum of left and right-sided weighted fractional integrals of a function concerning to another function. Using composite convex functions, several fractional Hermite-Hadamard inequalities are derived. The veracity of the inequalities established is demonstrated by drawing graphs of such relationships. Furthermore, our findings generalize a number of previously published outcomes. These findings will aid in the study of fractional differential equations and fractional boundary value problems with unique solutions.
DOI : 10.2298/FIL2309995S
Classification : 26D10, 26D15, 26A33, 34B27
Keywords: Composite convex, Weighted fractional integral operators, Riemann-Liouville fractional integral, Hermite-Hadamard inequality 
Muhammad Samraiz; Fakhra Nawaz; Shanhe Wu; Sajid Iqbal; Artion Kashuri. On the novel Hermite-Hadamard inequalities for composite inverse functions. Filomat, Tome 37 (2023) no. 9, p. 2995 . doi: 10.2298/FIL2309995S
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     title = {On the novel {Hermite-Hadamard} inequalities for composite inverse functions},
     journal = {Filomat},
     pages = {2995 },
     year = {2023},
     volume = {37},
     number = {9},
     doi = {10.2298/FIL2309995S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2309995S/}
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