Geodesic
New quantum boundaries for q-Simpson's type inequalities for co-ordinated convex functions
Filomat, Tome 36 (2022) no. 12, p. 3919

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DOI

The aim of this work is to develop quantum estimates for q-Simpson type integral inequalities for coordinated convex functions by using the notion of newly defined q 1 q 2-derivatives and integrals. For this, we establish a new identity including quantum integrals and quantum numbers via q 1 q 2-differentiable functions. After that, with the help of this equality, we achieved the results we want. The outcomes raised in this paper are extensions and generalizations of the comparable results in the literature on Simpson's inequalities for coordinated convex functions.
DOI : 10.2298/FIL2212919A
Classification : 26D10, 26D15 26B25
Keywords: Simpson’s inequality, q1, q2-integral, quantum calculus, co-ordinated convexity, q1, q2-derivatives 
Necmettin Alp; Muhammad Aamir Ali; Hüsein Budak; Mehmet Zeki Sarıkaya. New quantum boundaries for q-Simpson's type inequalities for co-ordinated convex functions. Filomat, Tome 36 (2022) no. 12, p. 3919 . doi: 10.2298/FIL2212919A
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     title = {New quantum boundaries for {q-Simpson's} type inequalities for co-ordinated convex functions},
     journal = {Filomat},
     pages = {3919 },
     year = {2022},
     volume = {36},
     number = {12},
     doi = {10.2298/FIL2212919A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212919A/}
}
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