Two-Variable Quantum Integral Inequalities of Simpson-Type Based on Higher-Order Generalized Strongly Preinvex and Quasi-Preinvex Functions
Loading...
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this paper, we present a new definition of higher-order generalized strongly preinvex functions. Moreover, it is observed that the new class of higher-order generalized strongly preinvex functions characterize various new classes as special cases. We acquire a new q1q2-integral identity, then employing this identity, we establish several two-variable q1q2-integral inequalities of Simpson-type within a class of higher-order generalized strongly preinvex and quasi-preinvex functions. Finally, the utilities of our numerical approximations have concrete applications.
Description
Keywords
Quantum Calculus, Simpson-Type Inequalities, Strongly Preinvex Functions, Co-Ordinated Higher-Order Generalized Strongly Preinvex Functions, Co-Ordinated Higher-Order Generalized Strongly Quasi-Preinvex Functions
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Kalsoom, Humaira...et al. (2020). "Two-Variable Quantum Integral Inequalities of Simpson-Type Based on Higher-Order Generalized Strongly Preinvex and Quasi-Preinvex Functions", Symmetry-Basel, Vol. 12, No. 1.
WoS Q
Scopus Q
Source
Symmetry-Basel
Volume
12
Issue
1