Geodesic
Some new and general versions of q-Hermite-Hadamard-mercer inequalities
Filomat, Tome 37 (2023) no. 14, p. 4531

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DOI

In this paper, we establish two new different and general variants of q-Hermite-Hadamard-Mercer inequalities by using the newly defined q-integrals. The main edge of these inequalities is that they can be converted into some existing and new inequalities for different choices of q ∈ (0, 1) and λ ∈ (0, 1]. Finally, we study some mathematical examples to assure the validity of newly established inequalities.
DOI : 10.2298/FIL2314531A
Classification : 26D10, 26A51, 26D15
Keywords: Hermite-Hadamard inequality, Jensen-Mercer inequality, convex functions, q-calculus 
Muhammad Aamir Ali; Hüsein Budak; Elisabeth Köbis. Some new and general versions of q-Hermite-Hadamard-mercer inequalities. Filomat, Tome 37 (2023) no. 14, p. 4531 . doi: 10.2298/FIL2314531A
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     title = {Some new and general versions of {q-Hermite-Hadamard-mercer} inequalities},
     journal = {Filomat},
     pages = {4531 },
     year = {2023},
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     number = {14},
     doi = {10.2298/FIL2314531A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314531A/}
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