On (s, P)-functions and related inequalities

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:40 Issue:3
On (s, P)-functions and related inequalities

On (s, P)-functions and related inequalities

Authors : Selim NUMAN, İmdat İŞCAN

Pages : 585-592

View : 42 | Download : 12

Publication Date : 2022-10-09

Article Type : Research Paper

Abstract :In this paper, we introduce and study the concept of insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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.
Keywords : s convex function s, P, function, Hermite Hadamard inequality

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