On (s, P)-functions and related inequalities

Yıl 2022, Cilt: 40 Sayı: 3, 585 - 592, 09.10.2022

Selim Numan İmdat İşcan

Öz

In this paper, we introduce and study the concept of (s,P)-function and establish Hermite-Hadamard’s inequalities for this type of functions. Also, we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is (s,P)-function by using Hölder and power-mean integral inequalities. We also extend our initial results to functions of several variables. Next, we point out some applications of our results to give estimates for the approximation error of the integral function in the trapezoidal formula and for some inequalities related to special means of real numbers.

Anahtar Kelimeler

s-convex function, (s, P)-function, Hermite-Hadamard inequality

Kaynakça

• The article references can be accessed from the .pdf file.