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...
| Κύριοι συγγραφείς: | , , , , |
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| Μορφή: | Άρθρο |
| Γλώσσα: | English |
| Έκδοση: |
SpringerOpen
2020-11-01
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| Σειρά: | Advances in Difference Equations |
| Θέματα: | |
| Διαθέσιμο Online: | http://link.springer.com/article/10.1186/s13662-020-03094-x |
| Περίληψη: | 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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| ISSN: | 1687-1847 |