New refinements for integral and sum forms of Hölder inequality

• Published in: Journal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 11
• Main Author: İşcan, İmdat
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 29.11.2019; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Hermite–Hadamard-type inequality; Hölder inequality; Inequalities; Inequality; Integral inequalities; Integrals; Mathematics; Mathematics and Statistics; Young inequality; Hermite–Hadamard-type inequality; 26A51; Hölder inequality; Integral inequalities; Young inequality; 26D15

In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application.