Estimates of quantum bounds pertaining to new q-integral identity with applications

In this article, we establish a new generalized q -integral identity involving a q -differentiable function. Using this new auxiliary result, we obtain some new associated quantum bounds essentially using the class of preinvex functions. At the end, we present some applications to the special bivari...

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Bibliographic Details
Published in:Advances in difference equations Vol. 2020; no. 1; pp. 1 - 15
Main Authors: Awan, Muhammad Uzair, Talib, Sadia, Kashuri, Artion, Noor, Muhammad Aslam, Chu, Yu-Ming
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 14.08.2020
Springer Nature B.V
SpringerOpen
Subjects:
Analysis
Applications
Bivariate analysis
Bounds
Convex
Difference and Functional Equations
Functional Analysis
Inequalities
Integrals
Mathematics
Mathematics and Statistics
Methods
Ordinary Differential Equations
Partial Differential Equations
Preinvex
q-calculus
Special means
Topics in Special Functions and q-Special Functions: Theory
Convex
26A51
Special means
05A30
Bounds
Inequalities
Preinvex
calculus
26D15
ISSN:1687-1847, 1687-1839, 1687-1847
Online Access:Get full text
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Summary:In this article, we establish a new generalized q -integral identity involving a q -differentiable function. Using this new auxiliary result, we obtain some new associated quantum bounds essentially using the class of preinvex functions. At the end, we present some applications to the special bivariate means to show the significance of the obtained results. Our approaches and obtained results may lead to further applications in physics.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02878-5