A generalizations of Simpson's type inequality for differentiable functions using (alpha, m)-convex functions and applications

作者：Qaisar Shahid^*; He Chuanjiang; Hussain Sabir

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013, 2013(1): 158.

DOI：10.1186/1029-242X-2013-158

• Simpson's inequality
• mid point inequality
• Holder's inequality
• special means
• (alpha, m)-convex function

In this paper, we establish some new inequalities of Simpson's type based on (alpha, m)-convexity for differentiable mappings. This contributes to new better estimates than presented already. Some applications for special means of real numbers and error estimates for some numerical quadrature rules are also given.

• 出版日期2013
• 单位重庆大学