Geodesic
On generalizations of post quantum midpoint and trapezoid type inequalities for (α, m)-convex functions
Filomat, Tome 37 (2023) no. 14, p. 4493

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DOI

The aim of current study is to establish two crucial (p, q) b-integral identities for midpoint and trapezoid type inequalities. Utilizing these identities, we developed some new variant of midpoint and trapezoid type integral inequalities of differential (α, m)-convex functions using right post quantum integral approach. Moreover, we have presented the application of derived results related to special means of positive real numbers.
DOI : 10.2298/FIL2314493G
Classification : 05A33, 26A51, 26D10, 26D15
Keywords: Mid point inequalities, Trapezoid Inequalities, (α, m)-convex function, post quantum calculus 
Ghazala Gulshan; Hüsein Budak; Rashida Hussain; Asad Sadiq. On generalizations of post quantum midpoint and trapezoid type inequalities for (α, m)-convex functions. Filomat, Tome 37 (2023) no. 14, p. 4493 . doi: 10.2298/FIL2314493G
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     author = {Ghazala Gulshan and H\"usein Budak and Rashida Hussain and Asad Sadiq},
     title = {On generalizations of post quantum midpoint and trapezoid type inequalities for (\ensuremath{\alpha}, m)-convex functions},
     journal = {Filomat},
     pages = {4493 },
     year = {2023},
     volume = {37},
     number = {14},
     doi = {10.2298/FIL2314493G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314493G/}
}
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