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

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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Dades bibliogràfiques
Autors principals: Yu-Ming Chu, Muhammad Uzair Awan, Sadia Talib, Muhammad Aslam Noor, Khalida Inayat Noor
Format: Article
Idioma:English
Publicat: SpringerOpen 2020-11-01
Col·lecció:Advances in Difference Equations
Matèries:
Convex
n-polynomial
Post quantum
Hermite–Hadamard
Ostrowski
Accés en línia:http://link.springer.com/article/10.1186/s13662-020-03094-x
Descripció
Sumari: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.
ISSN:1687-1847

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