New Simpson Type Integral Inequalities for s-Convex Functions and Their Applications

First, we consider a new Simpson’s identity. This identity investigates our main results that consist of some integral inequalities of Simpson’s type for the s–convex functions. From our main results, we obtain some special cases which are discussed in detail. Finally, some applications on the Besse...

Full description

Bibliographic Details
Main Authors: Artion Kashuri, Pshtiwan Othman Mohammed, Thabet Abdeljawad, Faraidun Hamasalh, Yuming Chu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/8871988
Description
Summary:First, we consider a new Simpson’s identity. This identity investigates our main results that consist of some integral inequalities of Simpson’s type for the s–convex functions. From our main results, we obtain some special cases which are discussed in detail. Finally, some applications on the Bessel functions, special means of distinct positive real numbers, and error estimation about Simpson quadrature formula are presented to support our theoretical results.
ISSN:1563-5147