Author:
Ali Muhammad Aamir,Chu Yu-Ming,Budak Hüseyin,Akkurt Abdullah,Yıldırım Hüseyin,Zahid Manzoor Ahmed
Abstract
AbstractIn 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.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference40 articles.
1. Ernst, T.: A Comprehensive Treatment of q-Calculus. Springer, Berlin (2012)
2. Gauchman, H.: Integral inequalities in q-calculus. Comput. Math. Appl. 47(2–3), 281–300 (2004)
3. Ernst, T.: The history of Q-calculus and a new method. Department of Mathematics, Uppsala University, Sweden (2000)
4. Jackson, F.H.: On q-definite integrals. Q. J. Pure Appl. Math. 41, 193–203 (1910)
5. Agarwal, R.P.: A propos d’une note de M. Pierre Humbert. C. R. Acad. Sci. Paris, Ser. I 236(21), 2031–2032 (1953)
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