New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right ( p , q ) $(p,q)$ -derivatives and definite integrals

Abstract The main objective of this paper is to introduce a new more elegant notion of left–right ( p , q ) $(p,q)$ -derivative and definite integrals. To show the significance of these concepts, we discuss some of their basic properties. A new generalized ( p , q ) $(p,q)$ -integral identity is als...

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Главные авторы: Yu-Ming Chu, Muhammad Uzair Awan, Sadia Talib, Muhammad Aslam Noor, Khalida Inayat Noor
Формат: Статья
Язык:English
Опубликовано: SpringerOpen 2020-11-01
Серии:Advances in Difference Equations
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Online-ссылка:http://link.springer.com/article/10.1186/s13662-020-03094-x
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author Yu-Ming Chu
Muhammad Uzair Awan
Sadia Talib
Muhammad Aslam Noor
Khalida Inayat Noor
author_facet Yu-Ming Chu
Muhammad Uzair Awan
Sadia Talib
Muhammad Aslam Noor
Khalida Inayat Noor
author_sort Yu-Ming Chu
collection DOAJ
description Abstract The main objective of this paper is to introduce a new more elegant notion of left–right ( p , q ) $(p,q)$ -derivative and definite integrals. To show the significance of these concepts, we discuss some of their basic properties. A new generalized ( p , q ) $(p,q)$ -integral identity is also obtained. Utilizing this identity as an auxiliary result we then obtain our main results using the concept of n-polynomial convex functions.
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spelling doaj.art-038dc4cb15dd4180accec4ceecdcadb72022-12-22T00:21:54ZengSpringerOpenAdvances in Difference Equations1687-18472020-11-012020111510.1186/s13662-020-03094-xNew post quantum analogues of Ostrowski-type inequalities using new definitions of left–right ( p , q ) $(p,q)$ -derivatives and definite integralsYu-Ming Chu0Muhammad Uzair Awan1Sadia Talib2Muhammad Aslam Noor3Khalida Inayat Noor4Department of Mathematics, Huzhou UniversityDepartment of Mathematics, Government College UniversityDepartment of Mathematics, Government College UniversityDepartment of Mathematics, COMSATS University IslamabadDepartment of Mathematics, COMSATS University IslamabadAbstract The main objective of this paper is to introduce a new more elegant notion of left–right ( p , q ) $(p,q)$ -derivative and definite integrals. To show the significance of these concepts, we discuss some of their basic properties. A new generalized ( p , q ) $(p,q)$ -integral identity is also obtained. Utilizing this identity as an auxiliary result we then obtain our main results using the concept of n-polynomial convex functions.http://link.springer.com/article/10.1186/s13662-020-03094-xConvexn-polynomialPost quantumHermite–HadamardOstrowski
spellingShingle Yu-Ming Chu
Muhammad Uzair Awan
Sadia Talib
Muhammad Aslam Noor
Khalida Inayat Noor
New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right ( p , q ) $(p,q)$ -derivatives and definite integrals
Advances in Difference Equations
Convex
n-polynomial
Post quantum
Hermite–Hadamard
Ostrowski
title New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right ( p , q ) $(p,q)$ -derivatives and definite integrals
title_full New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right ( p , q ) $(p,q)$ -derivatives and definite integrals
title_fullStr New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right ( p , q ) $(p,q)$ -derivatives and definite integrals
title_full_unstemmed New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right ( p , q ) $(p,q)$ -derivatives and definite integrals
title_short New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right ( p , q ) $(p,q)$ -derivatives and definite integrals
title_sort new post quantum analogues of ostrowski type inequalities using new definitions of left right p q p q derivatives and definite integrals
topic Convex
n-polynomial
Post quantum
Hermite–Hadamard
Ostrowski
url http://link.springer.com/article/10.1186/s13662-020-03094-x
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