Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables

In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals. We also consider the particular cases of the key result...

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Veröffentlicht in:	Advances in difference equations 2021-01, Vol.2021 (1), p.1-26, Article 25
Hauptverfasser:	Ali, Muhammad Aamir, Chu, Yu-Ming, Budak, Hüseyin, Akkurt, Abdullah, Yıldırım, Hüseyin, Zahid, Manzoor Ahmed
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Coordinated convex function Difference and Functional Equations Functional Analysis Functions (mathematics) Inequalities Integrals Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Ostrowski inequality Partial Differential Equations q 1 q 2 $q_{1}q_{2}$ -integral Quantum calculus
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Beschreibung
Zusammenfassung:	In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals. We also consider the particular cases of the key results and offer some new integral inequalities.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-020-03195-7