Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals

Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals

The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity utilizing the concepts of Katugampola fractional int...

Full description

Bibliographic Details
Main Authors: Yu-Ming Chu, Muhammad Uzair Awan, Muhammad Zakria Javad, Awais Gul Khan
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/4189036
id doaj-9a4ee6a6e2834e78925b2ba00345ec15
record_format Article
spelling doaj-9a4ee6a6e2834e78925b2ba00345ec152020-11-25T03:11:35ZengHindawi LimitedJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/41890364189036Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional IntegralsYu-Ming Chu0Muhammad Uzair Awan1Muhammad Zakria Javad2Awais Gul Khan3Department of Mathematics, Huzhou University, Huzhou 313000, ChinaDepartment of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanThe goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity utilizing the concepts of Katugampola fractional integrals. This new fractional integral identity will serve as an auxiliary result in the development of the main results of this paper.http://dx.doi.org/10.1155/2020/4189036
collection DOAJ
language English
format Article
sources DOAJ
author Yu-Ming Chu
Muhammad Uzair Awan
Muhammad Zakria Javad
Awais Gul Khan
spellingShingle Yu-Ming Chu
Muhammad Uzair Awan
Muhammad Zakria Javad
Awais Gul Khan
Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
Journal of Mathematics
author_facet Yu-Ming Chu
Muhammad Uzair Awan
Muhammad Zakria Javad
Awais Gul Khan
author_sort Yu-Ming Chu
title Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
title_short Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
title_full Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
title_fullStr Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
title_full_unstemmed Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
title_sort bounds for the remainder in simpson’s inequality via n-polynomial convex functions of higher order using katugampola fractional integrals
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2020-01-01
description The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity utilizing the concepts of Katugampola fractional integrals. This new fractional integral identity will serve as an auxiliary result in the development of the main results of this paper.
url http://dx.doi.org/10.1155/2020/4189036
work_keys_str_mv AT yumingchu boundsfortheremainderinsimpsonsinequalityvianpolynomialconvexfunctionsofhigherorderusingkatugampolafractionalintegrals
AT muhammaduzairawan boundsfortheremainderinsimpsonsinequalityvianpolynomialconvexfunctionsofhigherorderusingkatugampolafractionalintegrals
AT muhammadzakriajavad boundsfortheremainderinsimpsonsinequalityvianpolynomialconvexfunctionsofhigherorderusingkatugampolafractionalintegrals
AT awaisgulkhan boundsfortheremainderinsimpsonsinequalityvianpolynomialconvexfunctionsofhigherorderusingkatugampolafractionalintegrals
_version_ 1715281246733467648

Similar Items