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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Podrobná bibliografie
Vydáno v:	Advances in difference equations Ročník 2020; číslo 1; s. 1 - 15
Hlavní autoři:	Awan, Muhammad Uzair, Talib, Sadia, Kashuri, Artion, Noor, Muhammad Aslam, Chu, Yu-Ming
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 14.08.2020 Springer Nature B.V SpringerOpen
Témata:	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
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-020-02878-5