Hermite-Hadamard and Simpson Type Inequalities for Differentiable Harmonically P-functions
Imdat Işcan *
Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun, Turkey.
Selim Numan
Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun, Turkey.
Kerim Bekar
Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce the concept of the harmonically P-functions, give Hermite-Hadamard’s inequalities for harmonically P-functions and define a new identity. By using this identity, we obtain new estimates on generalization of Hadamard and Simpson type inequalities for harmonically P-functions.
Keywords: P-function, harmonically P-functions, hermite–hadamard type inequalities, simpson type inequality