Hermite-Hadamard and Simpson Type Inequalities for Multiplicatively Harmonically P-Functions
1Department of Mathematics, Giresun University, GIRESUN
Sigma J Eng Nat Sci 2019; 37(4): 1315-1324
Abstract
In this paper, using the Hölder-İşcan and improved power-mean integral inequalities together with an identity, we obtain new estimates on generalization of Hadamard and Simpson type inequalities for multiplicatively harmonically 𝑃-functions. The obtained results are compared with the previous ones.
Keywords: Multiplicatively P-function, multiplicatively harmonically P-functions, Hermite–Hadamard type inequalities, Simpson type inequality, Hölder-İşcan inequality, improved power-mean inequality.
