New inequalities of hermite-hadamard type for functions whose second derivatives absolute values are exponential trigonometric convex
1Abdullah Kanca Vocational School, Karadeniz Technical University, Trabzon, 61080, Türkiye
Sigma J Eng Nat Sci 2023; 41(3): 451-456 DOI: 10.14744/sigma.2021.00072
Abstract
In this paper, a new class of convex functions, which is called exponential trigonometric convex functions is studied. We obtain some refinements of the Hermite-Hadamard type inequalities via functions whose second derivatives in absolute value at certain power are exponential trigonometric convex functions. The results of the research by the means of Hölder- İşcan and improved-power-mean integral inequalities.
Keywords: Convex Function; Trigonometric; Exponential Trigonometric; Hermite-Hadamard Inequality; Hölder-İscan; Improved Power-Mean