Some new Hermite–Hadamard type inequalities for s-convex functions and their applications

• Published in: Journal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 11
• Main Authors: Özcan, Serap, İşcan, İmdat
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 17.07.2019; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Convex analysis; Convex function; Hermite–Hadamard type inequality; Hölder inequality; Hölder–İşcan inequality; Inequalities; Integral inequalities; Integrals; Mathematics; Mathematics and Statistics; s-convex function; Trapezoidal formula; 26A51; Special means; Convex function; Hölder inequality; Integral inequalities; 26D15; Hermite–Hadamard type inequality; Hölder–İşcan inequality

In this paper, we establish some new integral inequalities of Hermite–Hadamard type for s -convex functions by using the Hölder–İşcan integral inequality. We also compare our new results with the known results and show that the results which we obtained are better than the known results. Finally, we...