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

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
id doaj-7ed43087e11f47c79f7e2bad4c03c891
record_format Article
spelling doaj-7ed43087e11f47c79f7e2bad4c03c8912020-12-21T01:38:00ZengHindawi LimitedMathematical Problems in Engineering1563-51472020-01-01202010.1155/2020/88719888871988New Simpson Type Integral Inequalities for s-Convex Functions and Their ApplicationsArtion Kashuri0Pshtiwan Othman Mohammed1Thabet Abdeljawad2Faraidun Hamasalh3Yuming Chu4Turkish General StaffDepartment of Industrial EngineeringDepartment of AnaesthesiaDepartment of Industrial EngineeringDepartment of Medical MicrobiologyFirst, 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.http://dx.doi.org/10.1155/2020/8871988
collection DOAJ
language English
format Article
sources DOAJ
author Artion Kashuri
Pshtiwan Othman Mohammed
Thabet Abdeljawad
Faraidun Hamasalh
Yuming Chu
spellingShingle Artion Kashuri
Pshtiwan Othman Mohammed
Thabet Abdeljawad
Faraidun Hamasalh
Yuming Chu
New Simpson Type Integral Inequalities for s-Convex Functions and Their Applications
Mathematical Problems in Engineering
author_facet Artion Kashuri
Pshtiwan Othman Mohammed
Thabet Abdeljawad
Faraidun Hamasalh
Yuming Chu
author_sort Artion Kashuri
title New Simpson Type Integral Inequalities for s-Convex Functions and Their Applications
title_short New Simpson Type Integral Inequalities for s-Convex Functions and Their Applications
title_full New Simpson Type Integral Inequalities for s-Convex Functions and Their Applications
title_fullStr New Simpson Type Integral Inequalities for s-Convex Functions and Their Applications
title_full_unstemmed New Simpson Type Integral Inequalities for s-Convex Functions and Their Applications
title_sort new simpson type integral inequalities for s-convex functions and their applications
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/8871988
work_keys_str_mv AT artionkashuri newsimpsontypeintegralinequalitiesforsconvexfunctionsandtheirapplications
AT pshtiwanothmanmohammed newsimpsontypeintegralinequalitiesforsconvexfunctionsandtheirapplications
AT thabetabdeljawad newsimpsontypeintegralinequalitiesforsconvexfunctionsandtheirapplications
AT faraidunhamasalh newsimpsontypeintegralinequalitiesforsconvexfunctionsandtheirapplications
AT yumingchu newsimpsontypeintegralinequalitiesforsconvexfunctionsandtheirapplications
_version_ 1714989438332829696

Similar Items