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q 1 q 2 -Ostrowski-Type Integral Inequalities Involving Property of Generalized Higher-Order Strongly n -Polynomial Preinvexity.
- Source :
-
Symmetry (20738994) . Apr2022, Vol. 14 Issue 4, pN.PAG-N.PAG. 20p. - Publication Year :
- 2022
-
Abstract
- Quantum calculus has numerous applications in mathematics. This novel class of functions may be used to produce a variety of conclusions in convex analysis, special functions, quantum mechanics, related optimization theory, and mathematical inequalities. It can drive additional research in a variety of pure and applied fields. This article's main objective is to introduce and study a new class of preinvex functions, which is called higher-order generalized strongly n-polynomial preinvex function. We derive a new q 1 q 2 -integral identity for mixed partial q 1 q 2 -differentiable functions. Because of the nature of generalized convexity theory, there is a strong link between preinvexity and symmetry. Utilizing this as an auxiliary result, we derive some estimates of upper bound for functions whose mixed partial q 1 q 2 -differentiable functions are higher-order generalized strongly n-polynomial preinvex functions on co-ordinates. Our results are the generalizations of the results in earlier papers. Quantum inequalities of this type and the techniques used to solve them have applications in a wide range of fields where symmetry is important. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 14
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 156624475
- Full Text :
- https://doi.org/10.3390/sym14040717