In this paper, the authors define a new identity for differentiable functions. By using of this identity, authors obtain new estimates on generalization of Hadamard and Simpson type inequalities for quasi-geometrically convex functions.

In this paper, the author establishes some Hadamard-type and Bullen-type inequalities for Lipschitzian functions via Riemann Liouville fractional integral.

Bu çalışmada w, Beurling-Domar (kısaca BD.) koşulunu sağlayan bir Beurling ağırlık fonksiyonu olmak üzere ( , )( ) uzayının (Cigler,1969) tarafından tanımlanan bir ( ) uzayı olduğu ve girişim işlemine göre soyut Segal cebiri olduğu gösterildi. (Blozinski,1972) çalışmasından yararlanılarak ( , )( ) uzayının idealleri ve regüler maksimal idealleri araştırıldı.

In this paper, we introduce and study the concept of exponential type P -function and establish Hermite-Hadamard's inequalities for this type of functions. In addition, we obtain some new Hermite-Hadamard type inequalities for functions whose …rst derivative in absolute value is exponential type 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 the function in the trapezoidal formula and for some inequalities related to special means of real numbers.