Geodesic
Some Integral Inequalities for Arithmetically and Geometrically Convex Functions of Two Variables
Journal of convex analysis, Tome 29 (2022) no. 1, pp. 205-22
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We introduce arithmetic-geometrically and geometric-geometrically convex functions for two variables. Then, we prove Hermite-Hadamard type inequalities for these functions. As applications, some new inequalities for unitarily invariant norms are established.
Classification : 47A63, 15A60, 47B05, 47B10, 26D15
Mots-clés : Hermite-Hadamard inequality, convex function, arithmetic-geometrically convex, unitarily invariant norm 
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     author = {V. Darvish and T. A. Roushan and S. G. Georgiev and S. S. Dragomir},
     title = {Some {Integral} {Inequalities} for {Arithmetically} and {Geometrically} {Convex} {Functions} of {Two} {Variables}},
     journal = {Journal of convex analysis},
     pages = {205--22},
     year = {2022},
     volume = {29},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2022_29_1_JCA_2022_29_1_a11/}
}
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V. Darvish; T. A. Roushan; S. G. Georgiev; S. S. Dragomir. Some Integral Inequalities for Arithmetically and Geometrically Convex Functions of Two Variables. Journal of convex analysis, Tome 29 (2022) no. 1, pp. 205-22. http://geodesic.mathdoc.fr/item/JCA_2022_29_1_JCA_2022_29_1_a11/