Geodesic
Some New Inequalities on Generalization of Hermite-Hadamard and Bullen Type Inequalities, Applications to Trapezoidal and Midpoint Formula
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 647 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we give a new general identity for differentiable functions. A consequence of the identity is that we obtain some new general inequalities containing all of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are convex. Some applications to special means of real numbers are also given. Finally, some error estimates for the trapezoidal and midpoint formula are addressed.
Classification : 26A51, 26D07, 26D10, 26D15
Keywords: convex functions, Hermite-Hadamard type inequality, Bullen type inequality, general integral ineqaulities, trapezoidal and Midpoint formula 
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İmdat İşcan; Tekın Toplu; Fatıh Yetgın. Some New Inequalities on Generalization of Hermite-Hadamard and Bullen Type Inequalities, Applications to Trapezoidal and Midpoint Formula. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 647 . http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a11/