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...
| Автори: | , , , , |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
SpringerOpen
2020-11-01
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| Серія: | Advances in Difference Equations |
| Предмети: | |
| Онлайн доступ: | http://link.springer.com/article/10.1186/s13662-020-03094-x |
| _version_ | 1828825380413243392 |
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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. |
| first_indexed | 2024-12-12T14:16:00Z |
| format | Article |
| id | doaj.art-038dc4cb15dd4180accec4ceecdcadb7 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T14:16:00Z |
| publishDate | 2020-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| 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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