Certain new bounds considering the weighted Simpson-like type inequality and applications


Luo C., Du T., KUNT M. , Zhang Y.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2018
  • Doi Number: 10.1186/s13660-018-1924-3
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Keywords: Simpson's inequality, (alpha,m,h)-convex function, (alpha,m,s)-convex function, S-CONVEX FUNCTIONS, INTEGRAL-INEQUALITIES, EXTENDED (S, DIFFERENTIABLE FUNCTIONS, H-CONVEX, (ALPHA

Abstract

We investigate a weighted Simpson-type identity and obtain new estimation-type results related to the weighted Simpson-like type inequality for the first-order differentiable mappings. We also present some applications to f-divergence measures and to higher moments of continuous random variables.