Selim NUMAN, İmdat İŞCAN

11179

On (s, P)-functions and related inequalities

On (s, P)-functions and related inequalities

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.

Keywords:

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

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

Sigma Journal of Engineering and Natural Sciences-Cover

ISSN: 1304-7191
Başlangıç: 1983
Yayıncı: Yıldız Teknik Üniversitesi

Arşiv

Sayıdaki Diğer Makaleler

On (s, P)-functions and related inequalities

Selim NUMAN, İmdat İŞCAN

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