HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS

Year 2019, Volume: 37 Issue: 4, 1315 - 1324, 01.12.2019

Mahir Kadakal

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.

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